Find the Maclaurin series of the function. f(x) = In (1 – 6x) %3D Choose the Maclaurin series. 6"x" In (1 – 6x) = Σ 6"x" O In (1- -Σ In (1 – 6x) = 6n

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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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 – 6x)
%3D
Choose the Maclaurin series.
6"x"
In (1-6x) = -
00
6Tx"
In (1- 6x) = -
6n
n=1
(-1)"-16"x"
O
In (1-6x) =
n=1
O
(-1)7-1x6n
In (1-6x) =
6n
n=1
Identify the interval on which the series is valid.
(Give your answer as an interval in the form (*, *). Use the symbol oo 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
IM: IM:
IM: IM:
Transcribed Image Text:Find the Maclaurin series of the function. f(x) = In (1 – 6x) %3D Choose the Maclaurin series. 6"x" In (1-6x) = - 00 6Tx" In (1- 6x) = - 6n n=1 (-1)"-16"x" O In (1-6x) = n=1 O (-1)7-1x6n In (1-6x) = 6n n=1 Identify the interval on which the series is valid. (Give your answer as an interval in the form (*, *). Use the symbol oo 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 IM: IM: IM: IM:
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