My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
September 27th, 2015, 05:53 PM   #1
Senior Member
 
hyperbola's Avatar
 
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.
hyperbola is offline  
 
September 27th, 2015, 06:20 PM   #2
Senior Member
 
romsek's Avatar
 
Joined: Sep 2015
From: USA

Posts: 2,530
Thanks: 1390

That limit is 0.

What is the integral you are trying to solve?
romsek is online now  
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.
Country Boy is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
limit, riemann, sum



Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
limit of Riemann sum motant Calculus 0 March 29th, 2015 01:45 PM
Limit of Riemann sums nubshat Calculus 1 November 17th, 2012 07:55 AM
Evaluate Limit using Riemann sum and FTC? yusufali Calculus 3 November 5th, 2012 04:45 AM
Limit of a Riemann sum as n reaches infinite Warmothpl Calculus 1 September 16th, 2012 09:43 AM
Riemann Summ Limit Proof (strange question to me) master555 Real Analysis 1 January 14th, 2012 11:55 AM





Copyright © 2019 My Math Forum. All rights reserved.