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5. Supposen converges. Prove that %n converges. n=1 6. Calculate the Taylor series of f(z) 7. Write down the Laurent series of 24 sin (2) about the point z = 0. -7 2 1 about the point zo = -3i. Specify the region of validity.

5. Supposen converges. Prove that %n converges. n=1 6. Calculate the Taylor series of f(z) 7. Write down the Laurent series of 24 sin (2) about the point z = 0. -7 2 1 about the point zo = -3i. Specify the region of validity.

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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5. Suppose |zn| converges. Prove that %n converges. n=1 n=1 6. Calculate the Taylor series of f(z) = ∞ -7 2 - about the point zo = -3i. Specify the region of validity. 1 1 7. Write down the Laurent series of 2¹ sin (2) about the point z = 0.
Transcribed Image Text:5. Suppose |zn| converges. Prove that %n converges. n=1 n=1 6. Calculate the Taylor series of f(z) = ∞ -7 2 - about the point zo = -3i. Specify the region of validity. 1 1 7. Write down the Laurent series of 2¹ sin (2) about the point z = 0.
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