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In one of the earlier pre-class activities, we said that the alternating harmonic series converges to In(2), i.e. 00 1 1 1 (-1)"+1 Σ In(2) = 1 - + - ... 4 n=1 Suppose you use the first 4 terms of the alternating series to approximate lIn(2), i.e. 1 1 1 In(2) a 1 - 4 Which of the following gives a bound on the absolute error in this approximation? 1 O a. 10 1 1 O C. 4! 1 O d. 5! +

In one of the earlier pre-class activities, we said that the alternating harmonic series converges to In(2), i.e. 00 1 1 1 (-1)"+1 Σ In(2) = 1 - + - ... 4 n=1 Suppose you use the first 4 terms of the alternating series to approximate lIn(2), i.e. 1 1 1 In(2) a 1 - 4 Which of the following gives a bound on the absolute error in this approximation? 1 O a. 10 1 1 O C. 4! 1 O d. 5! +

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In one of the earlier pre-class activities, we said that the alternating harmonic series converges to In(2), i.e. (-1)"+1 1 In(2) = 1 1 + 4 - - - ... 3 n=1 Suppose you use the first 4 terms of the alternating series to approximate In(2), i.e. 1 1 In(2) ~ 1 1 - 3 4 Which of the following gives a bound on the absolute error in this approximation? a. 10 O b. С. 4! 1 O d. 5!
Transcribed Image Text:In one of the earlier pre-class activities, we said that the alternating harmonic series converges to In(2), i.e. (-1)"+1 1 In(2) = 1 1 + 4 - - - ... 3 n=1 Suppose you use the first 4 terms of the alternating series to approximate In(2), i.e. 1 1 In(2) ~ 1 1 - 3 4 Which of the following gives a bound on the absolute error in this approximation? a. 10 O b. С. 4! 1 O d. 5!
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