A

Anku Asked a Question

January 23, 2021 1:44 pm

30 pts

IIT JAM
Mathematics (MA)

How to check convergent...what to do with fractional part here..

3 Answer(s)

1 Likes
10 Comments
Shares

Like
Comment

A
Anonymous User
it's a oscillating sequence. it oscillates between 0 to 1
Likes(1) Reply(0)
A
Anonymous User
visit through this link
Likes(1) Reply(0)
A
Anonymous User
https://youtu.be/xmEDKWLglzM
Likes(1) Reply(0)
Satpal singh
put alpha =1 and n by (n)^1/2. it will become your question
Likes(0) Reply(0)
Satpal singh
it will not converge to a particular limit
Likes(0) Reply(0)
Satpal singh
it is dense in [0,1] which implies as n tends to infinity it will cover all the values between 0 and 1
Likes(0) Reply(0)
Satpal singh
put sqrt(n) in place of n
Likes(0) Reply(0)
Satpal singh Best Answer
see this attachment
Likes(1) Reply(0)
Satpal singh
this sequence is oscillatory sequence
Likes(0) Reply(0)
Satpal singh
it is not a cgt sequence. since fractional part lies between 0 and 1. so this sequence oscillates between 0 and 1
Likes(1) Reply(0)

Head Office :

MPA 44, 2nd floor, Rangbari Main Road,
Mahaveer Nagar II, Kota (Raj.) – 324005

Corporate Office:

212, F-1, 2nd Floor, Evershine Tower,
Amrapali Marg,
Vaishali Nagar, Jaipur (Raj.) – 302021

Mail: info@eduncle.com

All Rights Reserved © Eduncle.com