A) B) Use the first four (non-zero) terms of the power series developed in Part 1 to estimate the integral 0.5 √º¹³ In(1 + x²) dx Give your answer correct to five decimal places. Use the power series developed in Part 1 to find the sum of the series ∞ 1 2n+2 Σ (3) *** n=0 (−1)n. n+1

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 23RE: Use the formula for the sum of the first ii terms of an arithmetic series to find the sum of the...
Question

Please answer parts a and b

A)
B)
Use the first four (non-zero) terms of the power series developed in Part 1 to
estimate the integral
0.5
√º¹³ In(1 + x²) dx
Give your answer correct to five decimal places.
Use the power series developed in Part 1 to find the sum of the series
∞
1
2n+2
Σ (3) ***
n=0
(−1)n.
n+1
Transcribed Image Text:A) B) Use the first four (non-zero) terms of the power series developed in Part 1 to estimate the integral 0.5 √º¹³ In(1 + x²) dx Give your answer correct to five decimal places. Use the power series developed in Part 1 to find the sum of the series ∞ 1 2n+2 Σ (3) *** n=0 (−1)n. n+1
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