Find the Maclaurin series of the function. f(x) = In (1 – 4x) Choose the Maclaurin series. In (1 – 4x) = n=1 00 In (1 – 4x) = (-1)"-'4"x" in n=1 4" x" In (1 – 4x) = 4n n=1 In (1 – 4x) = 5 (-1)"-'x 4n 00 -14n n=1 Identify the interval on which the series is valid. (Give your answer as an interval in the form (*, *). Use the symbol c∞ 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
Find the Maclaurin series of the function. f(x) = In (1 – 4x) Choose the Maclaurin series. In (1 – 4x) = n=1 00 In (1 – 4x) = (-1)"-'4"x" in n=1 4" x" In (1 – 4x) = 4n n=1 In (1 – 4x) = 5 (-1)"-'x 4n 00 -14n n=1 Identify the interval on which the series is valid. (Give your answer as an interval in the form (*, *). Use the symbol c∞ 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
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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