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Find the Maclaurin series of the function. f(x) = ln (1 – 5x) Choose the Maclaurin series. In (1 – 5x) In (1 – 5x) = In (1 – 5x) == -Σ In (1 – 5x) = Σ n=l == h=1 Σ Σ n=1 n=1 5"x" η (-1)n-15¹ xn n 5nxh 5n (−1)n-1 x5n 5n Identify the interval on which the series is valid.

Find the Maclaurin series of the function. f(x) = ln (1 – 5x) Choose the Maclaurin series. In (1 – 5x) In (1 – 5x) = In (1 – 5x) == -Σ In (1 – 5x) = Σ n=l == h=1 Σ Σ n=1 n=1 5"x" η (-1)n-15¹ xn n 5nxh 5n (−1)n-1 x5n 5n Identify the interval on which the series is valid.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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I need to know what the expansion is valid for, thanks

 

 

Find the Maclaurin series of the function. f(x) = ln (1 - 5x) Choose the Maclaurin series. In (1 - 5x) = In (1 - 5x) = In (1 – 5x) Σ == n=1 ∞ Σ n=1 n=1 ∞ 5" xn n (−1)n−15″ xn n 5n xn 5n (−1)n-1x5n In (1 - 5x) = - 5n n=1 Identify the interval on which the series is valid.
Transcribed Image Text:Find the Maclaurin series of the function. f(x) = ln (1 - 5x) Choose the Maclaurin series. In (1 - 5x) = In (1 - 5x) = In (1 – 5x) Σ == n=1 ∞ Σ n=1 n=1 ∞ 5" xn n (−1)n−15″ xn n 5n xn 5n (−1)n-1x5n In (1 - 5x) = - 5n n=1 Identify the interval on which the series is valid.
ln (1 − 5x) = Σ n=1 In (1 - 5x) = ln (1 − 5x) = -Σ n=1 Incorrect n 5n xn 5n ∞ 】 (−1)n-¹x³n 5n 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 valid for:
Transcribed Image Text:ln (1 − 5x) = Σ n=1 In (1 - 5x) = ln (1 − 5x) = -Σ n=1 Incorrect n 5n xn 5n ∞ 】 (−1)n-¹x³n 5n 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 valid for:
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