My Math Forum  

Go Back   My Math Forum > College Math Forum > Complex Analysis

Complex Analysis Complex Analysis Math Forum


Thanks Tree5Thanks
Reply
 
LinkBack Thread Tools Display Modes
February 8th, 2018, 06:09 PM   #11
Global Moderator
 
greg1313's Avatar
 
Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,733
Thanks: 996

Math Focus: Elementary mathematics and beyond
I'm talking about the given problem, not the definition of the derivative.
greg1313 is online now  
 
February 8th, 2018, 06:12 PM   #12
SDK
Senior Member
 
Joined: Sep 2016
From: USA

Posts: 276
Thanks: 141

Math Focus: Dynamical systems, analytic function theory, numerics
The given problem is a derivative. Specifically, what is the derivative of $e^x$ at $x = 0$? Well its
\[\lim_{h \to 0} \frac{e^h - 1}{h} \]
which is exactly the limit in the OP.
SDK is offline  
February 8th, 2018, 06:17 PM   #13
Global Moderator
 
greg1313's Avatar
 
Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,733
Thanks: 996

Math Focus: Elementary mathematics and beyond
That's a specific derivative, The example you gave in your previous post uses the general formula. There's absolutely no reason you can't apply L'Hopital's rule to the limit the OP gave and the result is 1. That result is all I intended to have the OP see. I'm done.
greg1313 is online now  
Reply

  My Math Forum > College Math Forum > Complex Analysis

Tags
derivative, limit, question



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Question about limit definition of partial derivative daigo Calculus 1 May 17th, 2014 09:06 PM
Limit of a Derivative Question Quaid Calculus 10 September 16th, 2012 12:00 PM
derivative/limit kaka2012sea Real Analysis 1 November 11th, 2011 09:52 AM
need help derivative/limit kaka2012sea Calculus 1 November 11th, 2011 03:52 AM
Help with a derivative/limit question steezysam Calculus 3 November 4th, 2011 04:03 PM





Copyright © 2018 My Math Forum. All rights reserved.