+oo (-1)"2n+1 2n +1 ITEMS: Consider tan for all r € [-1, 1]. n=0 2.x 1. By differentiating tan (r*), find a power series representation of f(r) = that is valid for all %3D rE(-1,1). (-1)"+1 2. Use the result in item 1 to find the exact value of 16" n=0 3. Approximate ( tan) using a 4th degree Maclaurin polynomial. Hint: Using the power series representation for tanr given above, write a tan-r as a power series.
+oo (-1)"2n+1 2n +1 ITEMS: Consider tan for all r € [-1, 1]. n=0 2.x 1. By differentiating tan (r*), find a power series representation of f(r) = that is valid for all %3D rE(-1,1). (-1)"+1 2. Use the result in item 1 to find the exact value of 16" n=0 3. Approximate ( tan) using a 4th degree Maclaurin polynomial. Hint: Using the power series representation for tanr given above, write a tan-r as a power series.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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100%
![+oo
(-1)"12n+1
2n +1
ITEMS: Consider tan
for all r € [-1, 1].
n=0
2x
1. By differentiating tan (r*), find a power series representation of f(r) =
that is valid for all
%3D
1+r4
rE(-1, 1).
(-1)"+1
2. Use the result in item 1 to find the exact value of
16"
n=0
3. Approximate ( tan) using a 4th degree Maclaurin polynomial.
Hint: Using the power series representation for tanr given above, write a tan-r as a power series.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ab822c7-e074-4f26-b662-6b11c4fc5c04%2Fc3ae1d04-b158-482b-85fb-d6ad8792cd07%2F2gv0k5q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:+oo
(-1)"12n+1
2n +1
ITEMS: Consider tan
for all r € [-1, 1].
n=0
2x
1. By differentiating tan (r*), find a power series representation of f(r) =
that is valid for all
%3D
1+r4
rE(-1, 1).
(-1)"+1
2. Use the result in item 1 to find the exact value of
16"
n=0
3. Approximate ( tan) using a 4th degree Maclaurin polynomial.
Hint: Using the power series representation for tanr given above, write a tan-r as a power series.
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