PYQs on Sequences of Real Number | Fully Short Cut tricks | CSIR NET 2011 to 2023

This lecture explains the PYQs on Sequence of real number Fully Short Cut tricks CSIR NET 2011 to 2023

[vermastudiesmathematics]

30.20 option A is not correct, it is not monotonic but its its even odd subsequences are monotonic, both cgs to same limit.

[anusuiya.]

Thank you so much for amazing short tricks sir
At 23:10 sequence is +ive. So how we took (-1)^n as xn

[NAWAZSARIF-ns]

36:33 it is MCQ (Single correct) so option D will be true and C is not correct
as by Bolzano Weierstrass theorem every bounded sequence of real number has a convergent subsequnce

[nabilafathima]

Solutions are easy to understand...keep uploading sir...its helpful

[meghapatidar]

1) 5:01 every convergent sequence is bounded
Bolzano theorem
2) 23:10 b option should be correct
3) 28:28 a is incorrect
4) 36:06 c is incorrect

[easytolearnmathematics]

30:30 option a is not true, i.e not monotone. Please check.

[Radhakrishna]

Limit, countinuty, and differentiability CSIR net 2011 to 2023 complete solution please provide sir 🙏🙏

[Euphoria-kr]

I am learning a lot ❤.
Thanks a lot Sir!!

[popideb]

Thank you so much sir your videos are very helpful... Sir please upload Modern Algebra (Group Theory & Ring Theory) PY Questions

[MohdAasif-mftu]

Sir 24:00 question mai b) kai liyai only positive term sequence kei example Laine hai, becoz it's given in question, so therefore (-1) ^n isn't a valid example.
In fact the b) option will be correct as both +ve term &-ve term series converges to same limit therefore +ve term series will be convergent i.e: same L

[NAWAZSARIF-ns]

30:33 xn is not monotone sequence as x1<x2 but >x3

[satyanarayanpruseth]

24.10 mn in option (a) and (b) have taken alternating sequence but in question mentioning about positive real no.s seq

[SantoshKumar-ipej]

Dr. Sahab great initiative but some options are wrong. E.g. see 36.15 option c is incorrect.
Others questionstudents have already told

[kenchappab]

36:20 sequence An={sinn} it is bounded then how to construct convergent subsequence for this sir

[kanikakaundal]

58:35 option 3 is not true please check sir

[SP-ztbr]

Sir please upload video on queueing theory...

[RanjangamingYT]

23:25 b option you have not taking example sequence (-1)^n given question sequence of positive term .

[abdulkaleem]

23:10 par Jo sequence hai vo positive real number ki sequence hai usme hum oscillate wala example nahi le sakte

[shankarkubal]

sir 31.45, lambda n is not defined for n=1, since denomenator becomes zero. so option a is correct

[artography]

Sir @1:05:15, series has sum log2 . So it means it is also convergent???? I dont think so because when you apply limit comparison test it is dgt...So it is not neccessary that sum is finite so as series convergent.... Please let me know I'm contemplating right or not ????