Thank you Sir . You are really making mathematics easy and interesting .we appreciate your continuous hard work for us. Now we are waiting for continuity uniform continuity and differentiability .
Very useful.... Thank you sir! I'm glad to gain knowledge from your videos ❤ Sir i suggest please recheck the quality of voice in videos... In recent uploaded videos... The voice is not clear or breaking.. 😊
at 38: 30 , sequence is not monotonic . it is bounded between 0 and 1. and its complimentary pair of sequences are monotonic , one is increasing , other is decreasing. therefore, seq is not monotonic . check by taking value of n
Sir your videos are very helpful to build counterexamples and shortcut tricks to solve the questions in efficient manner, moreover I recommend your videos to my friends circle who already subscribed to offline coaching but they prefer your lectures too ( a large no. of them ) ❤❤
Correction : 1. On 1:02:23 the seq. is not a decreasing seq, take + instead of - and the seq. aₙ= 1+ 1/n also goes to 1 hence option (a) will be discarded🙏 Alt approach : For the same question option (d) it's correct by Abel test for series 2. On 1:27:54 please observe the 1st and 3rd inequalities are correct but the 2nd one is wrong I think I got a counterexample for it as follows:- take aₙ= (-1)ⁿ and bₙ= - 4 constant seq.
THANKYOU VERYMUCH SIR.SIR PLEASE QUICK UPLOAD OTHER VIDEOS CONTINUITY ,DIFFERENTIABILITY AND UNIFORM CONTINUOUS.EXAM START ONLY TEN DAYS.SIR PLEASE QUICK VIDEOS
Sir there is a little issue with the mic. And we know it's not easy to upload vast Abstract algebra course, but can you share some important group theory tricks
You are so talented one...Love you sir ji... Hat's off to your hard work 🙏💞🙏💞 We will be grateful forever....make more videos on different topic
Excellent lecture, Sir
Great lecture for CSIR NET aspirants🎉🎉🎉🎉🎉
Thank you Sir . You are really making mathematics easy and interesting .we appreciate your continuous hard work for us. Now we are waiting for continuity uniform continuity and differentiability .
Thanks for your short cuts and tricks sir
😊😊😊
It was great help sir thank you...
Very useful.... Thank you sir!
I'm glad to gain knowledge from your videos ❤
Sir i suggest please recheck the quality of voice in videos... In recent uploaded videos... The voice is not clear or breaking.. 😊
Very helpful for me
Thank you sir
Amazing lectures🎉🎉
It is very useful and has knowledge of limits. Thank you so much, sir.
at 38: 30 , sequence is not monotonic . it is bounded between 0 and 1. and its complimentary pair of sequences are monotonic , one is increasing , other is decreasing. therefore, seq is not monotonic . check by taking value of n
yes x_3lies b|w x_1 and x_2 then How it can be monotonic
Sir bhut achha lga pdke ...plz upload next vedios we are waiting
Very useful sir
Thankyou sir for this lecture.. learned new tricks also got revision of infimum/supremum qns.. very helpful..
mind blowing sir love u
Thaanku sir
nice sir
Thank you sir ❤ 👍 you’re channel is more than sufficient
amazing🎉
Thank you so much sir.. I gained many information and shortcuts by your class. The classes are useful to us..... so don't stop it doing sir....
Sir your videos are very helpful to build counterexamples and shortcut tricks to solve the questions in efficient manner, moreover I recommend your videos to my friends circle who already subscribed to offline coaching but they prefer your lectures too ( a large no. of them ) ❤❤
Great explanation Sir 😊
You are magician of mathematics. Genius sir. 🙏🙏🙇🙇
Great great great great 👍 sir
good job
Thanks a lot sir for all short cut tricks 🙏
Thank you so much for this wonderful vedio
Sir,
If I clear the CSIR exam it's fully because of you... Great work you are doing sir.
Great sir🎉
Thank you so much Sir 🙏 🙏
Really sir your videos make any topic very easy.....
Thanks sir...now I'm waiting for continuity and differentiability for one variable...
Thanks for making this video sir
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Thanks🙏 to you sir
Sir your explanation trick is amazing
Thank you Sir most awaited content.
❤❤❤
Sir jii apka jawab nhi hai king hai aap sir jii ❤❤❤
Great explanation sir... Thanks a lot...
Sir please upload videos on group theory also we need a lot for make our preparation boost
At 39: the sequence is not monotonic
Thank you Sir
Dedicated teacher
Thanku sir 😊
Thanku so much sir.
Thankyou so much sir....😊😊
Sir at 52:46 if we take the function f=sinx/x at x tends to 0 it is 1 but it is not always positive
Very nice sir
Thank you
Thanku so much sir
Many Thanks 😇
Thank you sir... For making this video in English ❤...
Thank you so much sir ❤
I am waiting you're lectures sir.
Sir abstract algebra(group,ring,field) ke upar bhi ek pyq video kijiye na...
Thank you sir ❤
Thank sir
Correction :
1. On 1:02:23 the seq. is not a decreasing seq, take + instead of - and the seq.
aₙ= 1+ 1/n also goes to 1 hence option (a) will be discarded🙏
Alt approach :
For the same question option (d) it's correct by Abel test for series
2. On 1:27:54 please observe the 1st and 3rd inequalities are correct but the 2nd one is wrong I think I got a counterexample for it as follows:- take aₙ= (-1)ⁿ and bₙ= - 4 constant seq.
THANKYOU VERYMUCH SIR.SIR PLEASE QUICK UPLOAD OTHER VIDEOS CONTINUITY ,DIFFERENTIABILITY AND UNIFORM CONTINUOUS.EXAM START ONLY TEN DAYS.SIR PLEASE QUICK VIDEOS
Thankyou sir
Thanku so much sir means a lot❤
Eagerly waiting Indian Statistical service Previous Years Questions
Thankyou sir ❤❤
Thanks 🙏
Sir abstract algebra k pyq bhi solve krwa do
Sir at time 43:00 we use cauchy 2nd theorem..?
Please upload continuity uniform continuity and differentiability
Sir there is a little issue with the mic.
And we know it's not easy to upload vast Abstract algebra course, but can you share some important group theory tricks
Thanku sir
I got confidence to Crack CSIR NET and KSET
Sir measure theory ka pyq solve karwa dijiye
Tq sir ❤
Sir can you also provide lecture notes
Group Theory lecture
❤❤
Can I use ratio test at 43.12
Great 👍 sir
Audio is sometimes not enough sound sir... 😢...
voice😮😮
Pls large size
🎉🎉🎉🎉🙇🙇
Sometimes sound problem...😢
Determinant pyq
In this video is voice problem 😢
Sound quality kya hogaya h.....bht dikkat ho rhi h
Writting is so small
Thank you sir
Thank you so much sir ☺️
Thanku sir ❤
❤❤
Thank you so much Sir 🙏
Thank you sir
My pleasure always.
Thank you so much Sir🙏