-. If the geometric series converges, find the sum, otherwise state that the series diverges: 00 .5, k=1 - Determine if the following series converges or diverges and verify with an appropriate test (showing that all the conditions of the test are satisfied) for convergence or divergence (comparison, limit comparison, ratio, root, or alternating series test): 00 n2 + 1 n3 n=1 Circle one: The series CONVERGES / DIVERGES State the test you used: Use the ratio test to determine the convergence or divergence of the following series. (Show that all of the conditions of the test are satisfied.) 00 k (8k) k! k=1
-. If the geometric series converges, find the sum, otherwise state that the series diverges: 00 .5, k=1 - Determine if the following series converges or diverges and verify with an appropriate test (showing that all the conditions of the test are satisfied) for convergence or divergence (comparison, limit comparison, ratio, root, or alternating series test): 00 n2 + 1 n3 n=1 Circle one: The series CONVERGES / DIVERGES State the test you used: Use the ratio test to determine the convergence or divergence of the following series. (Show that all of the conditions of the test are satisfied.) 00 k (8k) k! k=1
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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Please answer all three
Transcribed Image Text:-. If the geometric series converges, find the sum, otherwise state that the series
diverges:
3.
k=1
- Determine if the following series converges or diverges and verify with an
appropriate test (showing that all the conditions of the test are satisfied) for
convergence or divergence (comparison, limit comparison, ratio, root, or alternating series test):
n² + 1
n3
n=1
Circle one: The series CONVERGES / DIVERGES
State the test you used:
Use the ratio test to determine the convergence or divergence of the following
series. (Show that all of the conditions of the test are satisfied.)
00
k (8k)
k!
k=1
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