Determinate the convergence or divergence of sum_(n=0)^oo((-1)^n)/(sqrt(n+1))

Jaylene Hunter 2022-07-17 Answered
Determinate the convergence or divergence of n = 0 ( 1 ) n n + 1
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Answers (1)

autarhie6i
Answered 2022-07-18 Author has 18 answers
n = 0 ( 1 ) n n + 1 a n = 1 n + 1 > 0 lim n a n = lim n 1 n + 1 1 lim n = 0
1 + 1 2 + 1 3 + 1 4 +
is clearly a n + 1 a n n > N
Hence By alternating Series Test
n = 0 ( 1 ) n n + 1 is convergent

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