
Complex Analysis Complex Analysis Math Forum 
 LinkBack  Thread Tools  Display Modes 
February 8th, 2018, 05:09 PM  #11 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,823 Thanks: 1049 Math Focus: Elementary mathematics and beyond 
I'm talking about the given problem, not the definition of the derivative.

February 8th, 2018, 05:12 PM  #12 
Senior Member Joined: Sep 2016 From: USA Posts: 395 Thanks: 211 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. 
February 8th, 2018, 05:17 PM  #13 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,823 Thanks: 1049 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.


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 08:06 PM 
Limit of a Derivative Question  Quaid  Calculus  10  September 16th, 2012 11:00 AM 
derivative/limit  kaka2012sea  Real Analysis  1  November 11th, 2011 08:52 AM 
need help derivative/limit  kaka2012sea  Calculus  1  November 11th, 2011 02:52 AM 
Help with a derivative/limit question  steezysam  Calculus  3  November 4th, 2011 03:03 PM 