A Short Derivation of Euler's Identity
 
 

Recall the formula for obtaining the Taylor's series for a continuous function:

Applying this to cos(x) and sin(x) with x=q and xo=0,

Applying this to exp(x) with x = iq and xo=0 ,

This page is maintained by Tomas B. Co (tbco@mtu.edu). Last revised 3/23/2001.

     Tomas B. Co
     Associate Professor
     Department of Chemical Engineering
     Michigan Technological University
     1400 Townsend Avenue
     Houghton, MI 49931-1295

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