Problem on limit

Calculus Level 3

lim x 1 + 2 2 + 3 3 + + x x x = ? \large \lim_{x\to\infty} \dfrac{1 + \sqrt[2]{2} + \sqrt[3]{3} + \cdots + \sqrt[x]{x} }x = \, ?

0 1 2 3

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Abhishek Sinha
Feb 25, 2018

Apply the Cesaro mean Theorem to the convergent sequence n 1 / n n^{1/n} .

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...