Taylor Polynomials

2. We have to take the first 3 derivatives of the tangent function:

eqnarray126

Then we plug in

eqnarray128

to obtain the desired approximation:

Have you noticed? An odd function has Taylor polynomials with only odd powers. Guess what happens when a function is even! Maybe you can use that in the next problem.

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