f(x) = ln (17x) Choose the Maclaurin series. In (1 - 7x) = 00 Σ n=1 In (17x) =- In (1-7x) = (-1)n-17m xn Σ n=1 ∞ In (17x) =- -Σ n=1 7" xh n ¶ (-1)″-¹x7n 7n n=1 n 7" xn 7n 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:

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) = ln (17x)
Choose the Maclaurin series.
∞
ln (1 − 7x) = ↑ (−1)″-¹7″ x"
n
n=1
in (1 – 7x) = - Σ
n=1
In (1 – 7x) = Σ
n=1
7" xn
in (1 – 7x) = - Σ
n=1
n
(−1)n-1x7n
7n
7n xn
7n
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:
Transcribed Image Text:Find the Maclaurin series of the function. f(x) = ln (17x) Choose the Maclaurin series. ∞ ln (1 − 7x) = ↑ (−1)″-¹7″ x" n n=1 in (1 – 7x) = - Σ n=1 In (1 – 7x) = Σ n=1 7" xn in (1 – 7x) = - Σ n=1 n (−1)n-1x7n 7n 7n xn 7n 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:
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