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Find the Maclaurin series of the function. f(x) = In (1 – 4x) Choose the Maclaurin series. 00 !"x" In (1 – 4x) : n=1 00 In (1 – 4x) = 5 (-1)"-'4"x" n n=1 00 4" x" In (1 – 4x) : 4n n=1 00 -14n In (1 – 4x) = 4n 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 "(",")", "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:

Find the Maclaurin series of the function. f(x) = In (1 – 4x) Choose the Maclaurin series. 00 !"x" In (1 – 4x) : n=1 00 In (1 – 4x) = 5 (-1)"-'4"x" n n=1 00 4" x" In (1 – 4x) : 4n n=1 00 -14n In (1 – 4x) = 4n 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 "(",")", "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
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 – 4x) Choose the Maclaurin series. In (1 – 4x) = - n=1 -1)"-14"x" In (1 – 4x) = n=1 4" x" In (1 – 4x) = - 4n n=1 00 (-1)"-1x4" In (1 – 4x) = 4n 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:
Transcribed Image Text:Find the Maclaurin series of the function. f(x) = In (1 – 4x) Choose the Maclaurin series. In (1 – 4x) = - n=1 -1)"-14"x" In (1 – 4x) = n=1 4" x" In (1 – 4x) = - 4n n=1 00 (-1)"-1x4" In (1 – 4x) = 4n 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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