6. Let f(r) be a function such that: |S(CD|SE-D | SED -1) | f'(-1) | ƒ"(-1) | f"(-1) | ƒ(¹) (-1) f(5) (-1) | ƒ6) (-1) | FO -48 -16 32 -64 128 -256 (a) Find a Taylor polynomial for f(x) centered at x = -1 of degree 5. (b) Using the table above, find a general closed form for f(n)(-1). (c) Use (b) to find a Taylor series for f(r) centered at a = -1.

6. Let f(r) be a function such that: |S(CD|SE-D | SED -1) | f'(-1) | ƒ"(-1) | f"(-1) | ƒ(¹) (-1) f(5) (-1) | ƒ6) (-1) | FO -48 -16 32 -64 128 -256 (a) Find a Taylor polynomial for f(x) centered at x = -1 of degree 5. (b) Using the table above, find a general closed form for f(n)(-1). (c) Use (b) to find a Taylor series for f(r) centered at a = -1.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 54E

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