Find the Maclaurin series of the function. f(x) = In (1 – 6x) Choose the Maclaurin series. In (1 – 6x) = (-1)"-lx6n 6n 00 n=1 00 6" x" In (1 – 6x) = Σ 6n n=1 In (1 – 6x) = (-1)"-'6"x" n=1 6" x" In (1 — 6х) : 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 "(",")", "L","]" 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
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Author:James Stewart
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Chapter1: Functions And Models
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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 – 6x)
Choose the Maclaurin series.
In (1 – 6x) = (-1)"-lx6n
6n
00
n=1
00
6" x"
In (1 – 6x) =
Σ
6n
n=1
In (1 – 6x) = (-1)"-'6"x"
n=1
6" x"
In (1 — 6х) :
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 "(",")", "L","]" 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:
Transcribed Image Text:Find the Maclaurin series of the function. f(x) = In (1 – 6x) Choose the Maclaurin series. In (1 – 6x) = (-1)"-lx6n 6n 00 n=1 00 6" x" In (1 – 6x) = Σ 6n n=1 In (1 – 6x) = (-1)"-'6"x" n=1 6" x" In (1 — 6х) : 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 "(",")", "L","]" 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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