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## Homework Statement

The interval [0,4] is partitioned into n equal subintervals and ti, is chosen in [Xi-1, Xi] for each i.

What is:

Lim........ inf

x->inf......Ʃ e^(sqrt ti)/N(sqrt ti)

............i=1

## The Attempt at a Solution

It was problem we had to do in class as a group, teacher wasnt there to provide us an answer, and some people in my group have conflicting answers

What i did:

I wrote it as integral

4

∫ (e^(sqrt X))/(N(sqrt X))

0

I then use the substitution method:

U= sqrt X

du= 1/(2 sqrtX) dx

2du= 1/(sqrt X)

.......4

2/n ∫ e^u = (2e^(sqrt 4))-(2e/n^(sqrt 0))

.......0

= 2e^2-2

**My answer = 2/n(e^2 - 1)**

Can someone help me out, i dont really understand what we are suppose to do, and i apologize for the bad input. Appreciate it.