3. [11.9] Find a power series representation with center at x = 0 for the functions and determine the interval of convergence. (a) f(x) = (b) f(x) = = 1 1 + x 4 2x + 3 (c) f(x) (d) f(x) a + = = b x+2 x+16 x-1 [Hint: rewrite f(x) as x + 2 for some constants a and b.]
3. [11.9] Find a power series representation with center at x = 0 for the functions and determine the interval of convergence. (a) f(x) = (b) f(x) = = 1 1 + x 4 2x + 3 (c) f(x) (d) f(x) a + = = b x+2 x+16 x-1 [Hint: rewrite f(x) as x + 2 for some constants a and b.]
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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PLEASE, I need help with D only!!!
![3. [11.9] Find a power series representation with center at x = 0 for the functions and determine
the interval of convergence.
(a) f(x)
=
(b) f(x) =
=
1
1 + x
4
2x + 3
(c) f(x) =
(d) f(x)
a +
=
b
x+2
2²
x4 + 16
X 1
[Hint: rewrite f(x) as
x + 2
for some constants a and b.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1548810f-0d74-4833-a3a0-92b9ff116e67%2F0968f002-3d02-4211-b2b2-80f845e5cade%2F5all5v_processed.png&w=3840&q=75)
Transcribed Image Text:3. [11.9] Find a power series representation with center at x = 0 for the functions and determine
the interval of convergence.
(a) f(x)
=
(b) f(x) =
=
1
1 + x
4
2x + 3
(c) f(x) =
(d) f(x)
a +
=
b
x+2
2²
x4 + 16
X 1
[Hint: rewrite f(x) as
x + 2
for some constants a and b.]
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