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 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. $\displaystyle \frac{10e^{-5n-5}}{n}$ 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: 2,530 Thanks: 1390 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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