Taylor Polynomials

3. If you did the last problem, you realize that you only have to compute the first 2 derivatives, since the function under consideration is even, and thus its Taylor polynomial has only even powers.

eqnarray134

resulting in f(0)=1, f'(0)=0 and f''(0)=-2. Consequently the Taylor polynomial looks like this:

Where to go from here?

A natural choice would be to find out about Taylor series next! You can start by reviewing the geometric series, or proceed directly to power series.

Helmut Knaust
Sun Jul 7 22:08:09 MDT 1996
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