Find the Taylor series centered at r 3 for the given function. f(r) = In(x + 2) a) Find the following derivatives of f(a).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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tion 9.10 Homework
ses/46921/assignments/1001702?return_to=https%3A%2F%2Fnctc.instructure.com%2Fcalendar%23view name
DERIVITA
Audrey Aden
Find the Taylor series centered at r = 3 for the given function.
f(r) = In( + 2)
a) Find the following derivatives of f(a).
b) Find the value of f(x) and the derivatives of f(a) at the center a = 3.
74°F M
Transcribed Image Text:tion 9.10 Homework ses/46921/assignments/1001702?return_to=https%3A%2F%2Fnctc.instructure.com%2Fcalendar%23view name DERIVITA Audrey Aden Find the Taylor series centered at r = 3 for the given function. f(r) = In( + 2) a) Find the following derivatives of f(a). b) Find the value of f(x) and the derivatives of f(a) at the center a = 3. 74°F M
Cection 9.10 Homework
urses/46921/assignments/1001702?return to-https%BA%2F%2F
om%2Fcalendar%23view name%.
c) Determine a pattern for the k'h derivative of f(x) at x = 3.
fik (3)
d) What is the Taylor series of f(x) centered at 3? Use k as your index variable.
For example sum(k, 0, infinity, x^k) is evaluated as
e) What is the radius of convergence for the series?
CHECK ANSWER
W
74°F Mostly cloudy
acer
F9
F10
F11
F12
PrtSc
Pause
F8
Ins
Scr Lk.
SysRq
Break
Transcribed Image Text:Cection 9.10 Homework urses/46921/assignments/1001702?return to-https%BA%2F%2F om%2Fcalendar%23view name%. c) Determine a pattern for the k'h derivative of f(x) at x = 3. fik (3) d) What is the Taylor series of f(x) centered at 3? Use k as your index variable. For example sum(k, 0, infinity, x^k) is evaluated as e) What is the radius of convergence for the series? CHECK ANSWER W 74°F Mostly cloudy acer F9 F10 F11 F12 PrtSc Pause F8 Ins Scr Lk. SysRq Break
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