Taylor Polynomials


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

eqnarray126

Then we plug in tex2html_wrap_inline333

eqnarray128

to obtain the desired approximation:

displaymath352

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

Copyright 1999-2017 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour