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Discuss the convergence of the series 4-3-1 plus 4-3-1 plus 4-3-1..?
Updated: 8/17/2019
Wiki User
∙ 14y agoBest Answer
The series does not converge. Let s(n) be the partial sum of the series. s(1) = 4, s(2) = 1, s(3) = 0, s(4)=4, etc. It is plain to see that s(n) is periodic, i.e. that s(n) = s(n+3). Hence, s(n) does not approach a limit as n -> infinity, so the series does not approach a fixed value. Therefore, it diverges.
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∙ 14y agoThis answer is:
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