0

Guest

Courses New

Consider the infinite sequence {n^1/n } i.e. 1 , 2^1/2 , 3^1/3 . . . . .Find the largest term in this sequence(if it exists). hint : use calculas

Consider the infinite sequence {n^1/n } i.e. 1 , 2^1/2 , 3^1/3 . . . . .Find the largest term in this sequence(if it exists).
hint : use calculas

Grade:12

1 Answers

Rinkoo Gupta
askIITians Faculty 81 Points
10 years ago
lim n->infinity n^1/n
let A=lim n->infinity n^1/n
taking log on both sides
log A=lim n->infinity (logn)/n form infinity/infinity
Using L'Hospital rule
logA=lim n->infinity (1/n)/1
=>logA=limn->infinity(1/n)
=>logA=1/infinity=0
=>A=e^0=1
Hence gthe largest Term in this sequence is 1.
Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

Think You Can Provide A Better Answer ?

Other Related Questions on 6 grade maths

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More