Complete the following steps to find the values of p > 0 for which the series converges.
Question:
Complete the following steps to find the values of p > 0 for which the series converges.
a. Use the Ratio Test to show that 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.
Transcribed Image Text:
1•3•5•· · (2k – 1) p*k! k=1 8. 1•3•5· ·· (2k – 1) p*k! k=1
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a Use the Ratio Test 135 2k 1 pk1k1 pk k 135 2k 1 2k 1 k 1p and this expression has limitas k ...View the full answer
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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