Can you?part :3

Calculus Level 3

Compute $\displaystyle \sum _{ n=1 }^{ \infty }{ \frac { 1 }{ { n }^{ n } } }$ till two decimal places.

1 solution

Prakhar Gupta
Nov 12, 2014

It is as same as the Can You? part 1.

In we can easily see that only first $4$ terms are significant . Others are too small to contribute to $2$ decimal places.

Adding first four terms we get the answer as $1.29$ .