Math Is Fun Forum

tulip007

Member

Registered: 2008-04-30

Posts: 10

Quadratic taylor series

I have to write the quadratic taylor series for the expression e^(-x^2).  This topic was skimmed over during the lectures and now I have no idea what I am doing.  Any help would be greatly appreciated!!

Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

Re: Quadratic taylor series

Let:

By "quadratic taylor series", I'm going to assume you mean the second degree taylor series.  So that would be:

So what you need to find is f' and f'', then plug them in to the formula.  You may or may not need to simplify, based upon the wishes of your teacher/instructor/professor.

And an unrelated note:

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"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."