Find the Maclaurin series of the function. f(x) = In (1 – 7x) Choose the Maclaurin series. 7" x" In (1 – 7x) = - Σ In n=1 7" x" In (1 – 7x) = - Σ n=1 Σ (-1)"-lx7n In (1 – 7x) = 7n n=1 (-1)*-17" x" 00 In (1 – 7x) = > %3D n n=1 Identify the interval on which the series is valid. (Give your answer as an interval in the form (*, *). Use the symbol co 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:
Find the Maclaurin series of the function. f(x) = In (1 – 7x) Choose the Maclaurin series. 7" x" In (1 – 7x) = - Σ In n=1 7" x" In (1 – 7x) = - Σ n=1 Σ (-1)"-lx7n In (1 – 7x) = 7n n=1 (-1)*-17" x" 00 In (1 – 7x) = > %3D n n=1 Identify the interval on which the series is valid. (Give your answer as an interval in the form (*, *). Use the symbol co 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:
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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![Find the Maclaurin series of the function.
f(x) = In (1 – 7x)
Choose the Maclaurin series.
7" x"
In (1 – 7x) = – >
In
n=1
00
7" x"
In (1 – 7x) =
Σ
n
n=1
(-1)*-lx7"
In (1 – 7x) = 2
7n
n=1
(-1)*-!7"x"
In (1 – 7x) =
n
n=1
Identify the interval on which the series is valid.
(Give your answer as an interval in the form (*, *). Use the symbol o 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:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bb54c50-d653-47f8-8cfc-545a4ed262e0%2Fa37d7a5c-0b15-42af-a2f9-178081691f04%2Flisp1yh_processed.png&w=3840&q=75)
Transcribed Image Text:Find the Maclaurin series of the function.
f(x) = In (1 – 7x)
Choose the Maclaurin series.
7" x"
In (1 – 7x) = – >
In
n=1
00
7" x"
In (1 – 7x) =
Σ
n
n=1
(-1)*-lx7"
In (1 – 7x) = 2
7n
n=1
(-1)*-!7"x"
In (1 – 7x) =
n
n=1
Identify the interval on which the series is valid.
(Give your answer as an interval in the form (*, *). Use the symbol o 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:
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