Let f be a function such that f(0) = 3 and the nth derivative of f at x 0 is given by pl0) = -1)** (n +1)! 2" for integer values of n from 1 to 4. a. Write the third-degree Taylor polynomial for f about x 0 and use it to approximate f(-02). b. Write the fourth-degree Taylor polynomial for g about x= 0 where g(x)= /(x?). c. Let h be the function given by h(x) = | f(1) dt. Write the third-degree Taylor polynomial for h about x= 0.
Let f be a function such that f(0) = 3 and the nth derivative of f at x 0 is given by pl0) = -1)** (n +1)! 2" for integer values of n from 1 to 4. a. Write the third-degree Taylor polynomial for f about x 0 and use it to approximate f(-02). b. Write the fourth-degree Taylor polynomial for g about x= 0 where g(x)= /(x?). c. Let h be the function given by h(x) = | f(1) dt. Write the third-degree Taylor polynomial for h about x= 0.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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