September 27th, 2015, 05:53 PM  #1 
Senior Member Joined: Dec 2014 From: The Asymptote Posts: 142 Thanks: 6 Math Focus: Certainty  Riemann sum limit.
I want to evaluate $\displaystyle \lim_{n \to \infty}$ for the following equation. $\displaystyle \frac{10e^{5n5}}{n}$ I wish to do so in order to calculate the definite integral. As $\displaystyle n \to \infty$, the numerator approaches 0 and the denominator approaches infinity. Therefore the limit is 0? This can't be correct as the definite integral I calculated was close to 1. Would I have to evaluate using partial sums?? Thank you in advance. Last edited by hyperbola; September 27th, 2015 at 05:57 PM. 
September 27th, 2015, 06:20 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,404 Thanks: 1306 
That limit is 0. What is the integral you are trying to solve? 
September 28th, 2015, 01:14 PM  #3 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
Is $\displaystyle \frac{10e^{5n 5}}{n}$ the value at the nth point or the sum of the values of n terms?
Last edited by greg1313; September 28th, 2015 at 01:29 PM. 

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