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(-1)k+1 . 2k Question 7: Given that In(1 + 2a?) = -22k for all z-values for which the series converges, k k=1 approximate In(1.8) by using the fourth degree Taylor polynomial for In(1+2x²) centered at z = 0. A .077 +.002 B .461 + .002 © .480 +.002 D .548 + .002 E .588 + .002 E None of these Note that the ±.002 indicates that you should allow for a discrepancy of .002 with the answer listed. For instance, if you find the approzimation to be .079, you should select Choice A.

(-1)k+1 . 2k Question 7: Given that In(1 + 2a?) = -22k for all z-values for which the series converges, k k=1 approximate In(1.8) by using the fourth degree Taylor polynomial for In(1+2x²) centered at z = 0. A .077 +.002 B .461 + .002 © .480 +.002 D .548 + .002 E .588 + .002 E None of these Note that the ±.002 indicates that you should allow for a discrepancy of .002 with the answer listed. For instance, if you find the approzimation to be .079, you should select Choice A.

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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Question 7: Given that In(1 + 2a?) = (-1)k+1 . 2k -22* for all r-values for which the series converges, %3D k k=1 approximate In(1.8) by using the fourth degree Taylor polynomial for In(1+2x²) centered at z = 0. A .077 +.002 B .461 + .002 © .480 + .002 D.548 + .002 E .588 ± .002 F None of these Note that the ±.002 indicates that you should allow for a discrepancy of .002 with the answer listed. For instance, if you find the approximation to be .079, you should select Choice A.
Transcribed Image Text:Question 7: Given that In(1 + 2a?) = (-1)k+1 . 2k -22* for all r-values for which the series converges, %3D k k=1 approximate In(1.8) by using the fourth degree Taylor polynomial for In(1+2x²) centered at z = 0. A .077 +.002 B .461 + .002 © .480 + .002 D.548 + .002 E .588 ± .002 F None of these Note that the ±.002 indicates that you should allow for a discrepancy of .002 with the answer listed. For instance, if you find the approximation to be .079, you should select Choice A.
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