0

Guest

Courses New

Consider the infinite sequence {n1/n } i.e. 1 , 21/2 , 31/3 . . . . .Find the largest term in this sequence(if it exists). Hint: Use Calculus

Consider the infinite sequence {n1/n } i.e. 1 , 21/2 , 31/3 . . . . .Find the largest term in this sequence(if it exists).

Hint: Use Calculus

Grade:12

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
9 years ago
nth term of the sequence is given by : (10n + 1)/n for n>1
Differentiate it : 0 - 1/n^2
It is always less than 0. Hence, it is decreasing always.
Hence, the largest term is 21/2.
Thanks
Bharat Bajaj
askiitians faculty
IIT Delhi

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

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