Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

book name-Mathematical Methods for Physicists (7th)-Arfken-Weber-Harris-Harris

 

1.1.1 Prove that if lim,0 nPu, =A<o0, p> 1, the series n="n converges. %3D A 0, the series diverges. (The test fails for A 0.) (b) Prove that if lim,0o nun = A These two tests, known as limit tests, are often convenient for establishing the convergence of a series. They may be treated as comparison tests, comparing with En-4. 1<4< p.
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Transcribed Image Text:1.1.1 Prove that if lim,0 nPu, =A<o0, p> 1, the series n="n converges. %3D A 0, the series diverges. (The test fails for A 0.) (b) Prove that if lim,0o nun = A These two tests, known as limit tests, are often convenient for establishing the convergence of a series. They may be treated as comparison tests, comparing with En-4. 1<4< p.
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