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## Homework Statement

consider {sum from k=0 to n of e^(sqrt(k))}/{2sqrt(n)e^(sqrt)}.how to prove that the limit when n approaches infinity is 1?

or in latex form,

\lim_{n \to \infty}\frac{\sum_{k=0}^{n}e^{\sqrt{k}}}{2\sqrt{n}e^{\sqrt{n}}}=1

## Homework Equations

Nil

## The Attempt at a Solution

I tried to use logarithm to remove the exponential, but failed.

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