A power series question

  • #1
complexhuman
22
0
Hi

Just had a question.

Assuming tan(x) is given by a power series with coefficiants (An). How can it be shown that An = 0 whenever n is even.



Thanks
 

Answers and Replies

  • #2
LeonhardEuler
Gold Member
860
1
I assume you mean a power series centered about x=0. tan(x) is an odd function, i.e. tan(-x)=-tan(x). If it had nonzero coefficients to its even powered terms this could not be the case.
 
  • #3
complexhuman
22
0
thanks a lot :)
 

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