My Math Forum derivative limit question:

 Complex Analysis Complex Analysis Math Forum

 February 8th, 2018, 06:09 PM #11 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,912 Thanks: 1110 Math Focus: Elementary mathematics and beyond I'm talking about the given problem, not the definition of the derivative.
 February 8th, 2018, 06:12 PM #12 Senior Member   Joined: Sep 2016 From: USA Posts: 558 Thanks: 323 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, 06:17 PM #13 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,912 Thanks: 1110 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 Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post daigo Calculus 1 May 17th, 2014 09:06 PM Quaid Calculus 10 September 16th, 2012 12:00 PM kaka2012sea Real Analysis 1 November 11th, 2011 09:52 AM kaka2012sea Calculus 1 November 11th, 2011 03:52 AM steezysam Calculus 3 November 4th, 2011 04:03 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top