Infinite Series - D'Alembert's Ratio Test For Convergence of Series

[@gajendrapurohit]

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[@vedanshchaubey9242]

Hello

[@deathsnipe1834]

sir wo vn/un hoga? kyuki comparision test main aapne un/vn likha tha.

[@karishmatailor259]

Sir video blur he

[@ManishKumar-rj6xt]

Sir 2nd que x=1 pe Vn upon Un ye galt h apne comparison test m Un upon Vn btaya h

[@Storage-em4ru]

@@deathsnipe1834 the same thing im thinking....

[@udaysharma4510]

10:15 a little mistake sir, you took Vn/Un where it had to be Un/Vn hence giving us 1/4 as the limit's answer. Nevertheless, comparison test still held and gave the consistent answer, great video!

[@Z0ntaro]

yes

[@tushargupta4072]

Agree 👍

[@arghyadippanda3994]

dont worry... thats nothing.. u can take both Un/Vn or Vn/Un . because if Un/Vn is finite positive then Vn/Un is also positive finite.

[@arghadeepsaha5211]

8:30

[@_.itz.eshu._]

Agree👍

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Sir I can't understand teaching style of tution sir but easily taken from you

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[@anweshadutta6592]

sir in comparison test we used to do
(Un/Vn ) but here in this video you did( Vn/Un)

[@rahulnayak343]

By doing the both we will get same

[@aaravgupta4747]

@@rahulnayak343 no we won't get the same result (un/vn) will give the reciprocal of what sir has written

[@rahulnayak343]

@@aaravgupta4747 I have done so

[@bikdigdaddy]

huh, wherever i find, they use Um/(Um+1) only

[@alokindori1043]

@@bikdigdaddy 😂😂 comparison test Ki bat Ho rhi h..... Un+1 ki nhi

[@siddiquiikram5673]

Superb no words for appreciation
Higher Mathematics required teachers like you thank you very mush

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[@hillcore6615]

at x=1 i got un = 1/2 which is greater then 0 , so from d alemberts test it become divergent in second q. but by comparisin test it comes convergent

[@amtfilmscene6811]

If x=1 then how can you apply d alemberts test ❤

[@rohithrachha6899]

sir, im student of IIT BHU. your videos are very helpful to me.we going to have our endsem exams from next week.Thank you for helping me

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Iit bhu which rank you opt

[@AkashPawar-zp1oj]

@@xipingpong5165 i don't think there's any mistake. Can you point out any one mistake

[@Randomeditzzz43]

@@AkashPawar-zp1oj did u find mistake

[@AkashPawar-zp1oj]

Bhai ,it was 4 years ago....us time padhta tha....vaise mistake maine ek aur comment mein likhi hai, you will find it in comments only

[@sumanthbobby3481]

Sir
In comparison test we have to use
Limit n->infinity Un/Vn
In this vedio why did you use
Limit n->infinity Vn/Un

[@bhavyarajwanshi5663]

Mistake Kardi unhone yaga

[@subhasdh2446]

Either way it's true

[@purubajpai3185]

by mistake

[@aniketmehta4104]

either way is true na if you take un/vn and get a constant than even if you reverse it you will get a constant only !

[@rajatbisht21]

Sir ne comparison test ki video mein bola tha ki Uv/Vn ya Vn/Un likho usse koi farak nahi padta kyunki end result mein humein bas ek constant chahiye.

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[@muskangarg6454]

Sir it realky helps me alot... And a request to you to upload next videos on this topic as soon as possible.. My exams are near and i have to prepare..

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[@jatinmulgund9476]

@@gajendrapurohit simp

[@technicallittlemaster8793]

A counter example to the concepts part at 3:00 would be the sequence 1/n which has a limit that is 0 but the series is Divergent.

[@superstrabhishek9992]

अरे सर vn/un नाही आयेगा un/vn आयेगा
Kya Sir App Bhi

[@sujalacharya1915]

Sir q2 meh woh joh Un+1 ka part apne Kiya waha kse 2n+1/2n+2 Aya?? +1 aur -1 cancel nahi honge kya???

[@sksahinparvej5500]

n = n+1 means it is 2(n+1) - 1 means it is 2n +2 -1 means 2n+1 hope you get it

[@sujalacharya1915]

@@sksahinparvej5500 Thanks G

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6:36 , 10:28 for remembrance 👍thank you sir

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Thanks sir
Sir mane aapko unacademy par follow kar Liya
Aabh to iit jam chemistry k leya best channel in utube

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Sir app sare consept ko clear kar dete hain thanks sir je

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sir your channel help me in engineering very very much

[@krishnasneha5222]

Very helpful video!!!
But a small correction
At 7:39 you should write (2n) for(2n-1) but u have written it as (2n+1).

[@uday5955]

no correction required please check u again ✔✔✔
😂✔

[@truesmileingardening3787]

सही कहा आपने

[@SatyamSingh-lp6ot]

Correct sneha.. there's mistake.

[@Ginger_Hrn]

nopes, that interpretation is misleading. i suggest you observe it again.
let me simplify,
for n+1, its 2{n+1} -1 which is not equals to 2n. (BODMAS)
and he wrote 2n+1 which is same as 2{n+1}-1

[@atharvshivale5843]

@@Ginger_Hrn bhai wo 2n-1 hai it's not 2(n-1). Check again

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sir your class is very helpful for semester exam preparation

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sir kya baat hai aap ki !
prayers, appreciation and much love from pakistan

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Thank you so much sir..
Sb confusion dur ho jate h aapk video dekhne k bad.

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Sir you are the best teacher

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सर् आप महान हो

[@rajuvashist4184]

Sir app bhut badiya sir h app apne bhut yogadan diya

[@alongimchen8127]

Like you said in the last part that we can even use limUn tends to infinity...but then what will be the answer if limUn tends to infinity is 1

[@michaelangelo8948]

Big fan of teaching method

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[@thesam3775]

Thank you sir...
Apke video dekhne k bd sare confusions clear ho jate ...
Thanks a lot...❤❤❤

[@gajendrapurohit]

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[@FMRulesofficial]

But you r best teacher i have ever seen

[@adarshpathak3385]

Best online class for Bsc chemistry

[@jitictfan]

sir in Q3 u took un = x^n/n^2 +1 but it is does not satisfy the series ......but when it is un+1 term and un= x^n/n^2-2n+2 it satisfy the series.........

[@civilspot5912]

In 2nd question, when checking the convergence of x=1 , you used comparison test. but u took lim n-> infinity 1/(2n-1)(2n), instead of taking x power n /(2n-1)(2n)?

[@harshverma6837]

X=1 hai isliye

[@brachiosaurous_3050]

@@harshverma6837 why did sir take vn/un. It should be un/vn. Then the value will be 1/4 then by p series test p=1 and vn is divergence so un... So at x= 1 series should be divergence..

[@Pallav2023]

@@brachiosaurous_3050 yes you are right mera bhi same yehi aa rha h

[@alokindori1043]

@@Pallav2023 to Ab kya krna h 🙄

[@AdityaSharma-bq3tp]

@@brachiosaurous_3050 exactlyy man I also got 1/4 so its divergent right?

[@rockers6963]

Great vedeo lecture 🙏🙏🙏🙏🙏

[@irfankhan-ek6iz]

Sir aap bahut acha content banate hain.

[@hehebehello2080]

sir thank you so much
you have english subtitles for us south indians also
your channel is a gift from god sir

[@csabhishek6640]

Great sir and thank you this very helpful for me 🙏🙏🙏🙏🙏
Thank you sir 🙏🙏

[@esportathlete4703]

The last two cases for x=1 , while using comparision test it should be Un/Vn not Vn/Un , correct it please .

[@sukrityaathwal3423]

Same doubt

[@rudrapratapsingh1820]

Ur right ..

[@sujoy2104]

I can be anything just the ratio needs to be constant

[@amankumarpandey9019]

Sir, if the ratio test fails then can we apply L- Hospital Rule for solving the limit?? And if yes then how to proceed further??

[@minusingh6511]

i got this concept properly thank u sir

[@taruntingal308]

Amazing explanation sir❤

[@coclover5995]

Excellent explanation sir

[@biharboardscience]

Sir very nice, and important

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[@smitarai9098]

Aapka koi jawab nhi hai sir

[@kailasiyer]

thanks a lot from the bottom of my heart

[@dedication_355]

Sir bahut simple way explained

[@aparupadebnath1652]

Happy teacher's day sir

[@kapildevsharmafitnessfreak1375]

U r great sir 🙏🙏🙏😌🥰🙏 t

[@technicalsandeep8711]

U are great sir

[@gulfammalik2707]

Sir aap bhut accha padhate hai

[@sathvikmalgikar2842]

sir this really really helps a lot.

[@manvendrasingh717]

Sir app questions k beech m calculation nhi samjaate ho lakin aap bahut achaa padaate ho

[@dr.siddeeqaboobaker1262]

Superb...👍...but why vn/un in D'alembert's test?

[@shubhoackrido1022]

Sir your videos are super awesome... But sir you only taught us and it is also written in the book that for comparison test we write Un/Vn but you have mistakenly miswriten it as Vn/Un in last two solution.

[@saurabhpaladia4387]

Thank you sir ❤️❤️❤️
I love the way you teach and explain the concept easily

[@jiyatripathi6423]

Great teaching sir

[@ananyaverma1932]

Congratulations for 1M sir...

[@sayanbanerjee5606]

11:17 why is it vn/un it should be un/vn ...i think it's a mistake please confirm

[@thecodeaction5229]

Thanks sir for all types lecture provided by you

[@PawanKumar-ow2xj]

Thanks a lot Sr bht bdiyaa

[@Nupur26kanojia]

Such a beautiful rap!!!!!!!!!♥️🔥🔥🔥🔥🔥

[@anshikatiwari2211]

Sir please proof bhi krva dijiye theorem ka 🙏
Exam m proof bhi ata h compulsory

[@rajputanthal7188]

Bilkul sahi bola 😊

[@MCA-KNOWLEDGE]

Sir please tell a serial wise all the test when we use whose test there are very much confusion

[@gopalyaduvanshi4855]

Sir plzz sare theorem se related video v post kijiye

[@gajendrapurohit]

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[@rohansarkar3555]

U did the comparison test just opposite to the theory in ths video,u did lim n tends to infinity (Vn/Un) instead of (Un/Vn)

[@gajendrapurohit]

Hello Rohan Sarkar
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[@rajatsehrawat1851]

@@gajendrapurohit kya reply de rho ho aap sir.....ye koi baat thodi na h....vo student doubt Puch rha h or aapko promotion ki lg rkhi h

[@yashdewan3633]

Sir ......Un /Vn aayega .....na ki Vn/Un

[@skrahimbuksh8306]

Bhai woh Un/Vn hoga aur uska answer 1/4 hoga jisko p series test se convergent bolte hai....galat hai sir ko glti se kar diye hai....🙄

[@tanmaypathrabe9579]

Kuch farak nahi padta hai uss chiz se. Tum Un/Vn likho ya Vn/Un

[@arpitasingh3593]

Best teacher ❤️😍👌 superb

[@continnum_radhe-radhe]

Thanks a lot sir 🔥🔥🔥

[@hunterplayz2174]

Very doubt on qn 2,3....many things sir had done mistake.... In qn 2, For x=1, lim of summation of Vn is 1 ... That's finite number and +ve,But it should be divergent as p=1 but sir had written it convergent... So is my point correct pls tell me guys!! 🙏🙏

[@jayvyas5366]

Un/Vn hi ayega ...🙌

[@kishankumar5014]

You are the best teacher sir
Thank you so much for your hard work for us ❤️🙏

[@DEEPAKKUMAR-mk7vb]

Thanks sir your video is really superb 🥰🥰

[@manojkumardandapat2037]

Thank u Sir..Really your all lectures are out standing

[@missionhptetnon.med.4734]

Sir your's video are very usefull for us thank you so much sir

[@jagratigautam4141]

Thankyou sir 🙏🏻🙏🏻
Your video is so helpful for us👍🏻👍🏻🥰

[@Adityajacked]

Thanks so much sir for covering this topic

[@desypandit]

Better understanding sir ji

[@Krishn8810]

Sir aapne Un+1 /Un likha h usse pehle test me aapne Un/Un+1 kiya tha sir pls reply 🙏🙏

[@P.Patil_]

THANK YOU SIR

[@sohanromana5503]

Very helpful video

[@shibascreativity4949]

Thank u so much sir.... Saare doubt clear ho geya me....

[@RimaKumari-xj7ir]

Thankyou so much sir ji

[@sandeepshah4294]

Sir please upload a lecture on Fourier series

[@gajendrapurohit]

Hello Sandeep
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[@sandeepshah4294]

Thank you sir

[@abhishekverma4292]

Thank you sir😊❤️

[@yashisingh6260]

Sir I have a doubt, at 13:40 q the whole series is not getting generate by the Un term you have written. I think it should be 1+Un. Correct me if I am wrong.

[@sagarbhattacharya6468]

Sir lim Un =0 is a necessary condition for covergence , so we can't say if limUn=0 then sumUn converge

[@aniketmehta4104]

no tha statement what he wrote is wrong ...

[@vivekent4422]

14:48 its divergent for finite positive

[@roshansaini9932]

NyC ji...🎆🎆🎆

[@harshitasingh963]

Your are undoubtedly a great teacher and I'm really grateful for your efforts but what's the point of commenting on your videos ...agr doubt wale comments me aap aapna promotion krke chale jate ho.

[@rajputanthal7188]

Bilkul sahi baat hai

[@engineeringtech4u911]

Hello

[@engineeringtech4u911]

Please reply me

[@akshitadua7953]

Sir in this test some books has mentioned un/un+1 ratio...which ratio is right???

[@subhammaharana2160]

Please upload a video on career opportunities after B. Sc mathematics

[@AnkitKumar-cr3qs]

Sir thankyou very much ...but I have a doubt...koi bhi series convergent hoti hai to uski limit=0 hoti hai (by nth term test) but is video me jitne bhi series ki limit Aayi hai wo 0 nhi Aayi aur aap Ratio test se kah rhe hein ki series convergent hai but nth term test se to series divergent ho jata hai.. ..sir plzzz Aap reply kijye🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

[@VedantDaud-gm3sp]

@14:18 pe un/vn hona chaiye.

[@shivamgirigoswami1653]

Bhatreen

[@indiangirl702]

Very nice sir .😍