February 21st, 2012, 03:50 AM  #1 
Newbie Joined: Feb 2012 Posts: 17 Thanks: 0  power series
show that e^i?=cos???+i sin?? ?, using the power series for e^x, cos?x and sin?x 
February 21st, 2012, 04:07 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,942 Thanks: 2210 
I think you intended Euler's formula: 
February 21st, 2012, 07:19 AM  #3 
Senior Member Joined: Jul 2011 Posts: 227 Thanks: 0  Re: power series
We have to prove: Using the Maclaurin series: 

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