1 To test the series for convergence, you can use the P-test. (You could also use the Integral k=1 Vk5 Test, as is the case with all series of this type.) According to the P-test: οΣ 1 diverges k=1 O the P-test does not apply to Σ k=1 Vk5 converges k=1 Vk5 1 Now compute 83, the partial sum consisting of the first 3 terms of 83 =
1 To test the series for convergence, you can use the P-test. (You could also use the Integral k=1 Vk5 Test, as is the case with all series of this type.) According to the P-test: οΣ 1 diverges k=1 O the P-test does not apply to Σ k=1 Vk5 converges k=1 Vk5 1 Now compute 83, the partial sum consisting of the first 3 terms of 83 =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Step 1
Given series is
We know that P-test states that converges if p>1 and diverges otherwise.
Step 2
For the series , , and so diverges .
Thus, the series diverges.
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