There are two parts to this problem and I need help with both: Using the Taylor series for ex A) I need to write out the first four terms of the Taylor series about 0 for f(x) = e-3x using the existing series. B) I need to differentiate the Taylor series found in Part A for the function f(x) = e-3x and rewrite that series in summation notation.
There are two parts to this problem and I need help with both: Using the Taylor series for ex A) I need to write out the first four terms of the Taylor series about 0 for f(x) = e-3x using the existing series. B) I need to differentiate the Taylor series found in Part A for the function f(x) = e-3x and rewrite that series in summation notation.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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Question
There are two parts to this problem and I need help with both:
Using the Taylor series for ex
A) I need to write out the first four terms of the Taylor series about 0 for
f(x) = e-3x using the existing series.
B) I need to differentiate the Taylor series found in Part A for the function
f(x) = e-3x and rewrite that series in summation notation.
Expert Solution
Step 1
To find first four terms of Taylor series at a=0
Step 2
Replace all the values
Put x=-3x
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