Riemann Sum Limit of Exponential Function e^x for Integral (0, 1)

[Dissonance in E]

Homework Statement

evaluate integral (0, 1) f(x)=e^x

Homework Equations

integral (a,b) f(x) dx = lim n-> infinity, sum of (i = 1, n) f(xi*)Deltax
where :
delta x = b-a/n
xi*= a+(delta xi)

The Attempt at a Solution

Deltax= 1-0/n = 1/n

xi*=0+(1/n)i = i/n

f(xi*)Deltax = (e^(i/n)) (1/n)

SUM OF:(e^(i/n)) (1/n)

(1/n) SUM OF:((e^(i/n))

i hope i was somewhat correct up till this point. Now i have no idea what summation formula to use here as the basic k=kn , i=n(n+1)/n and i^2=n(n+1)(2n+1)/6
dont seem to be very useful.

 

[Dick]

The formula for the sum of a geometric series would be useful.