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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 calculus ( please show in a paper)
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 calculus   (  please show in a paper)

```
6 years ago IIT Delhi
174 Points
```							f(n)= n^(1/n)log(f(n))= log(n)/ntaking derivative both sidesf'(n)/f(n)= (1/(n^2)-log(n)/(n^2)f'(n)=(1-log(n))f(n)/n^2f'(n)=0 log(n)=1,n=e , which imply nearest integer is 3,for n=3 , the function has maximasher mohammadb.tech, iitd delhi
```
6 years ago
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