real analysis//sequence and series Bsc first semester//iitjam/csirnet maths/upsc maths/L20//by Hdsir

real analysis//sequence and series Bsc first semester//iitjam/csirnet maths/upsc maths/L19//by Hdsir
real analysis//sequence and series Bsc first semester//iitjam/csirnet maths/upsc maths/L19//by Hdsir
limit n tending to infinity (1+1/2+1/3.......1/n) not exists convergent sequence real analysis

[@dishasingh1033]

Great teacher

[@shanmasih8401]

❤❤❤❤🎉🎉🎉 amazing 😍😍 God blessed you more

[@r.creative3562]

Thank you SIR,Sir Please if u can
teach complex analysis 🙏 🙏🙏🙏
How to solve (-1)^n÷n in the same way?

[@sakshibhandari5540]

Nice sir happy Dhantarus

[@AkKumar-uk1pw]

Sir , if we compare n+1 ,n+2,n+3.........with n in
place of 2n then the sequence would be cauchy
as |Am-An|

[@Philomath07]

Thank u sir 🙏🏻🙏🏻🙏🏻

[@adityakalaac-5022]

Sir ye to series hoga na .... 🤔
Isme addition ka symbol use kra hua hai .....
Sequence to =
Aise hona chahiye na ?? 😵

[@RR_theproahole]

Ye sequence ka nth term hai
Sequence kuch aisa hai
u1 = 1
u2= 1+1/2
u3= 1+1/2+1/3
Upto
un = 1+1/2+1/3+1/4+1/5+…………+1/n

[@adityakalaac-5022]

@@RR_theproahole thnx for the reply but it's too late 😂

[@SAMARPITASAHOO-te2fj]

Thanks sir
🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

[@_raj_bhai_7746]

Thankuuu... Soo much sir jii

[@HDMATHEMATICSBYHDSIR]

Welcome

[@biswnath50]

Sir sequence monotonic hai but bounded nahi hai .
That implies not convergent.
That implies is not a cauchy sequence.
ahi se bhi bol sakte hai na sir ?

[@onlinestudywithBhavesh0204]

भाई bounded hai sequence, upper bound 1 aur lower bound 0 exist kar raha hai

[@biswnath50]

@@onlinestudywithBhavesh0204 bounded nahi hai bhai kyu ki iska lower bound 1 but upper bound does not exist.
Explanation : a sequence ka nth term hai.
A1=1
A2=1+1/2
A3=1+1/2+1/3
A4=1+1/2+1/3+1/4
................................
Aur = a sequence alag hai.
B1=1/1
B2=1/2
B3=1/3
.............
A sequence bdd hai kyu ki iska uper bound 1 aur lower bound 0 hai.

[@bhavishyaacademy9264]

Sir I love your mathmatics

[@HDMATHEMATICSBYHDSIR]

Thank you

[@harshitakashyap7429]

Great sir

[@dishabisht9338]

Thank you ❤️ sir

[@ashuchaurasia9264]

Very nice sir

[@nausheenirfan7204]

Sir sequence toh convergent hai kyuki lim n tending to infinite pr value finite aa rhi hai toh cauchy kyuu nhi hai

[@ashuchaurasia9264]

Thank you sir

[@rudrakishore2840]

Brilliant idea

[@bishnunyaupane3147]

Sir would you please upload the videos of projective geometry (axiomatic approach)

[@firdaus6579]

How it is a sequence?

[@rahulpandey-hj4kz]

Sir real analysis Ka objective books bataye

[@firdaus6579]

Sir it is like a series

[@dipchakraborty369]

Sir the first tream off [a(n+1)] =1/2 not because n=1,2,3..... Not n=0 sir why € not=1 or 2

[@RahulSharma-ht2xz]

Sir kya ye seq bounded nahi hai
Kyoki ye monotonic to hai
Or bounded or monotonic hone par ye convergent ho jayega or tab Cauchy bhi hoga na theorem se
Please sir help me in my doubt

[@HDMATHEMATICSBYHDSIR]

It is not bounded therefore not convergent

[@HDMATHEMATICSBYHDSIR]

Yes monotonic but not convergent

[@divyanshiimishra9489]

Sir series infinite series ke playlist mei. Hai n

[@HDMATHEMATICSBYHDSIR]

Yes

[@subhamyonzone4323]

1+1/3+(1/3)^2+....+(1/3)^n-1+... converges sir what about this

[@HDMATHEMATICSBYHDSIR]

I will discuss in convergence of series

[@CollageCadetRatwal]

Sir 1/n convergent h ya divergent...plz explain

[@HDMATHEMATICSBYHDSIR]

Is it sequence or series

[@vaishalisahu6916]

if limit exists for a sequence then is it convergent necessarily (eg (n+ (-1)^n)/n limit=1 but sequence is not convergent) Sir pls confirm

[@HDMATHEMATICSBYHDSIR]

Ok i will see it please wait

[@sakshibhandari5540]

🙏🏻🙏🏻🙏🏻

[@nguyenvuankhanh538]

why e=1/10???

[@Tonic5620]

e can Take any value just the condition is e>0 and e is so small

[@artgallery4872]

salute sir🫡

[@Harish-Dhar-Deewan]

Sir apka csir net clear hai

[@inderjeetsingh6136]

Bhai is se kya test krega tu, NET to गधे bhe clear kr lete h

[@101manavkhurana8]

How 1/n+3 > 1/2n for n =1

[@101manavkhurana8]

Please rply sir

[@meernadeem120]

Beedhe coaching classes

[@Abhi_Kr13]

Thank you sir

[@AnkurKumar-zs5no]

Thank u sir