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Evaluate the sum k=0 (wow) by following these three easy steps: • Differentiate the Maclaurin series of (1-2)-¹ to get a new Maclaurin series. Differentiate this new series as well. • Use these new series to determine a function whose Maclaurin series is ok²xk. k=0 • Substitute for x, making sure that the Maclaurin series converges, so as to evaluate the sum (wow).

Evaluate the sum k=0 (wow) by following these three easy steps: • Differentiate the Maclaurin series of (1-2)-¹ to get a new Maclaurin series. Differentiate this new series as well. • Use these new series to determine a function whose Maclaurin series is ok²xk. k=0 • Substitute for x, making sure that the Maclaurin series converges, so as to evaluate the sum (wow).

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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4. Evaluate the sum 8 k=0 5k (wow) by following these three easy steps: • Differentiate the Maclaurin series of (1-x)-¹ to get a new Maclaurin series. Differentiate this new series as well. -00 1.2pk. k=0 • Use these new series to determine a function whose Maclaurin series is o • Substitute for r, making sure that the Maclaurin series converges, so as to evaluate the sum (wow).
Transcribed Image Text:4. Evaluate the sum 8 k=0 5k (wow) by following these three easy steps: • Differentiate the Maclaurin series of (1-x)-¹ to get a new Maclaurin series. Differentiate this new series as well. -00 1.2pk. k=0 • Use these new series to determine a function whose Maclaurin series is o • Substitute for r, making sure that the Maclaurin series converges, so as to evaluate the sum (wow).
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