(1 pt) Consider the function f(x) = 34. We want to find the Taylor series of f(x) at x = -5. (a) The nth derivative of f (x) is f(n) (x) = At x = 5, we get f(n) (-5) = (c) The Taylor series at x = -5 is T(x) = Σ n=0 (x+5) n (d) To find the radius of convergence, we use the ratio test. An+1 L = lim = 8+←u An and so its radius of convergence is R = Enter INF if the radius is infinite. | x + 5
(1 pt) Consider the function f(x) = 34. We want to find the Taylor series of f(x) at x = -5. (a) The nth derivative of f (x) is f(n) (x) = At x = 5, we get f(n) (-5) = (c) The Taylor series at x = -5 is T(x) = Σ n=0 (x+5) n (d) To find the radius of convergence, we use the ratio test. An+1 L = lim = 8+←u An and so its radius of convergence is R = Enter INF if the radius is infinite. | x + 5
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...
Question
![(1 pt) Consider the function f(x) = 34. We want to
find the Taylor series of f(x) at x = -5.
(a) The nth derivative of f (x) is
f(n) (x) =
At x = 5, we get
f(n) (-5)
=
(c) The Taylor series at x = -5 is
T(x) = Σ
n=0
(x+5) n
(d) To find the radius of convergence, we use the ratio
test.
An+1
L =
lim
=
8+←u
An
and so its radius of convergence is
R =
Enter INF if the radius is infinite.
| x + 5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7634a6a-5ecc-40e2-9892-46ba7a4cefd4%2F52e42a7f-805b-4f10-ad0f-5c43272d579b%2Fqqquogj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(1 pt) Consider the function f(x) = 34. We want to
find the Taylor series of f(x) at x = -5.
(a) The nth derivative of f (x) is
f(n) (x) =
At x = 5, we get
f(n) (-5)
=
(c) The Taylor series at x = -5 is
T(x) = Σ
n=0
(x+5) n
(d) To find the radius of convergence, we use the ratio
test.
An+1
L =
lim
=
8+←u
An
and so its radius of convergence is
R =
Enter INF if the radius is infinite.
| x + 5
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