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Taylor series

Date: Thu, 3 Nov 94 11:23:15 EST
From: Brian Sledd
Subject: Taylor series

Dr. Math,

Please describe the Taylor series. Try to make it as simple as 


Date: Thu, 3 Nov 1994 20:46:52 -0500 (EST)
From: Dr. Ethan
Subject: Re: Taylor series

Hi Brian,

Essentially the idea behind Taylor series is that if two functions have
the same value at a point and all of their derivatives are equal as well,
at that point essentially the two equations are equal. This is not an
absolute, but for most functions this is the case.

So given a nasty equation, we can come up with a polynomial that has the
same first, second, third, fourth, .... derivative, and therefore is a
very good approximation. 

I hope that sheds some light on the topic. If you want more, write back
and we'll try to give you some more.

-Doctor Ethan,  The Math Forum
 Check out our web site!   
Associated Topics:
High School Sequences, Series

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