Consider the function f (x) = x/e*. Answer the following two questions: (1) Find the Taylor series of f(x) centered at 2. (2) Use the result obtained in (1) to find f(19) (2), i.e., the 19th derivative of f(x) at 2.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 20EQ
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Consider the function f(x) = x*sqrt(e^x)

Answer the following.

1.Find the taylor series of f at 2

2. From 1 find the 19th derivite of f(2).

Consider the function f (x) = x/e². Answer the following two questions:
(1) Find the Taylor series of f(x) centered at 2.
(2) Use the result obtained in (1) to find f(19) (2), i.e., the 19th derivative of f(x) at
2.
Show all your work. Hint: Ve"
Transcribed Image Text:Consider the function f (x) = x/e². Answer the following two questions: (1) Find the Taylor series of f(x) centered at 2. (2) Use the result obtained in (1) to find f(19) (2), i.e., the 19th derivative of f(x) at 2. Show all your work. Hint: Ve"
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