Differential Calculus> Consider the infinite sequence {n1/n } i....

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

Manish , 11 Years ago

Grade 12

3 Answers

Sher Mohammad

f(n)=(10*n+1)/n

f(n)=10+1/n

the largest term i for n=1, which is 11

sher mohammad

b.tech, iit delhi

Last Activity: 11 Years ago

bharat bajaj

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

Last Activity: 11 Years ago

Arjun Premkumar

21/2-10.5 31/3-10.3 41/4-10.25 this series dicreasing so 21/2 is greater

Last Activity: 11 Years ago

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Differential Calculus> Consider the infinite sequence {n1/n } i....

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

Manish , 11 Years ago

Sher Mohammad

bharat bajaj

Arjun Premkumar

LIVE ONLINE CLASSES

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