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Find the Taylor series for f(x) = In (1 + 10x). Give the interval of convergence. What is the Taylor series for f(x)? 10?x? 10*x4 (- 1)"10" * 1xn+ 1 + ... 103,3 A. 10x- 2 + ... + 3 4 n+1 10?x? 10 x3 10ʻx* 104x (- 1)"10"x" B. - 10x + 2 + ... + + ... 3 4 102x2 10°x 104x4 (- 1)"10" * 1x"+ 1 + ... O C. - 1+10x - 2 +... 4 n+1 10?x2 10°x 10ʻx* 103.3 (- 1)"10"x" O D. 1-10x + 2 + ... + +... 3 4 The intervel of oop vergen ee ie (Tune integere or frectione

Find the Taylor series for f(x) = In (1 + 10x). Give the interval of convergence. What is the Taylor series for f(x)? 10?x? 10*x4 (- 1)"10" * 1xn+ 1 + ... 103,3 A. 10x- 2 + ... + 3 4 n+1 10?x? 10 x3 10ʻx* 104x (- 1)"10"x" B. - 10x + 2 + ... + + ... 3 4 102x2 10°x 104x4 (- 1)"10" * 1x"+ 1 + ... O C. - 1+10x - 2 +... 4 n+1 10?x2 10°x 10ʻx* 103.3 (- 1)"10"x" O D. 1-10x + 2 + ... + +... 3 4 The intervel of oop vergen ee ie (Tune integere or frectione

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 50E
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Find the Taylor series for f(x) = In (1 + 10x). Give the interval of convergence. What is the Taylor series for f(x)? 10?x? 10°x3 10*x4 (- 1)"10" * 1xn+ 1 + ... A. 10x- 2 + ... + 3 4 n+1 10?x? 103x 3 10ʻx* (- 1)"10"x" B. - 10x + 2 ... + + ... 3 4 10°x? 10°x3 10ʻx* (- 1)"10" + 1xn + 1 O C. - 1+10x - 2 + ... + + ... 4 n+1 10°x2 10°x3 104x* (- 1)"10"x" O D. 1-10x + 2 + ... + +... 4 n The interval of convergence is ( I (Type integers or fractions.)
Transcribed Image Text:Find the Taylor series for f(x) = In (1 + 10x). Give the interval of convergence. What is the Taylor series for f(x)? 10?x? 10°x3 10*x4 (- 1)"10" * 1xn+ 1 + ... A. 10x- 2 + ... + 3 4 n+1 10?x? 103x 3 10ʻx* (- 1)"10"x" B. - 10x + 2 ... + + ... 3 4 10°x? 10°x3 10ʻx* (- 1)"10" + 1xn + 1 O C. - 1+10x - 2 + ... + + ... 4 n+1 10°x2 10°x3 104x* (- 1)"10"x" O D. 1-10x + 2 + ... + +... 4 n The interval of convergence is ( I (Type integers or fractions.)
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