Consider the series (-7)k–1 k3 · k! S = k=1 Let L be the limit referred to in the ratio (quotient or D'Lambert) criterion. By analyzing the nature of S by such criterion, it is concluded that the series: a) diverges, since L = 7. b) converges, since L 1/7. c) converges, since L 0. d) diverges, since L = %3D

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the series
S =
(-7)*-1
k3 . k!
Let L be the limit referred to in the ratio (quotient or
D'Lambert) criterion. By analyzing the nature of S by such
criterion, it is concluded that the series:
a) diverges, since L = 7.
b)converges, since L 1/7.
c) converges, since L 0.
d) diverges, since L = 0
Transcribed Image Text:Consider the series S = (-7)*-1 k3 . k! Let L be the limit referred to in the ratio (quotient or D'Lambert) criterion. By analyzing the nature of S by such criterion, it is concluded that the series: a) diverges, since L = 7. b)converges, since L 1/7. c) converges, since L 0. d) diverges, since L = 0
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