Find the Maclaurin series of the function. f(x) = In (1 – 6x) Choose the Maclaurin series. 6"x" In (1 – 6x) = Σ in 6"x" In (1 – 6x) = - %3D 6n n=1 (-1)"-'6"x" In (1 - 6х) n=1 00 (-1)"-1x6n ン6n In (1 – 6x) = n=1 Identify the interval on which the series is valid. (Give your answer as an interval in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) The expansion is valid for: Incorrect
Find the Maclaurin series of the function. f(x) = In (1 – 6x) Choose the Maclaurin series. 6"x" In (1 – 6x) = Σ in 6"x" In (1 – 6x) = - %3D 6n n=1 (-1)"-'6"x" In (1 - 6х) n=1 00 (-1)"-1x6n ン6n In (1 – 6x) = n=1 Identify the interval on which the series is valid. (Give your answer as an interval in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) The expansion is valid for: Incorrect
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Question
![Find the Maclaurin series of the function.
f(x) = In (1 – 6x)
Choose the Maclaurin series.
6"x"
In (1 – 6x) =
Σ
in
6"x"
In (1 – 6x) = -
%3D
6n
n=1
(-1)"-'6"x"
In (1 - 6х)
n=1
00
(-1)"-1x6n
ン6n
In (1 – 6x) =
n=1
Identify the interval on which the series is valid.
(Give your answer as an interval in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express
numbers in exact form. Use symbolic notation and fractions where needed.)
The expansion is valid for:
Incorrect](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F32390507-1b41-4f2d-814a-a077c7820d6f%2F89470a18-1290-417a-b788-5a92556b7f09%2F79z48f_processed.png&w=3840&q=75)
Transcribed Image Text:Find the Maclaurin series of the function.
f(x) = In (1 – 6x)
Choose the Maclaurin series.
6"x"
In (1 – 6x) =
Σ
in
6"x"
In (1 – 6x) = -
%3D
6n
n=1
(-1)"-'6"x"
In (1 - 6х)
n=1
00
(-1)"-1x6n
ン6n
In (1 – 6x) =
n=1
Identify the interval on which the series is valid.
(Give your answer as an interval in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express
numbers in exact form. Use symbolic notation and fractions where needed.)
The expansion is valid for:
Incorrect
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