Use either the Ratio Test or the Root Test to test the series 2(-1)* k! k=1 for convergence. Evaluate the associated limit L of the Test and choose a suit- able combination or option from those given below. Each combination gives the Test used; the value of the associated limit L under the chosen Test; and the decision on convergence.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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Use either the Ratio Test or the Root Test to test the series
2(-1)*
k!
k=1
for convergence. Evaluate the associated limit L of the Test and choose a suit-
able combination or option from those given below. Each combination gives the
Test used; the value of the associated limit L under the chosen Test; and the
decision on convergence.
Select one:
O A.
Root Test; L = /6; Series diverges.
В.
Ratio Test; L = ; Series converges absolutely.
C.
Ratio Test; L = 0; Series converges but not absolutely.
None of these options.
O .
Root Test; L = ; Series converges absolutely.
Transcribed Image Text:Use either the Ratio Test or the Root Test to test the series 2(-1)* k! k=1 for convergence. Evaluate the associated limit L of the Test and choose a suit- able combination or option from those given below. Each combination gives the Test used; the value of the associated limit L under the chosen Test; and the decision on convergence. Select one: O A. Root Test; L = /6; Series diverges. В. Ratio Test; L = ; Series converges absolutely. C. Ratio Test; L = 0; Series converges but not absolutely. None of these options. O . Root Test; L = ; Series converges absolutely.
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