2. We have to take the first 3 derivatives of the tangent function:
Then we plug in
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.
Sun Jul 7 22:08:09 MDT 1996
Copyright © 1999-2017 MathMedics, LLC. All rights reserved.
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour