Complete the following steps to find the values of p > 0 for which the series converges.

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Complete the following steps to find the values of p > 0 for which the series 1•3•5•· · (2k – 1) p*k! k=1 8. converges.

a. Use the Ratio Test to show that 1•3•5· ·· (2k – 1) p*k! k=1 converges
for p > 2.

b. Use Stirling’s formula, k! ≈ √2k kke-k for large k, to determine whether the series converges when p = 2.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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