show if this series is convergent or divergent | Mathematics | Page 1

drowsy sluice Jan 19, 2023, 11:49 AM

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can someone help pls?

young crater Jan 19, 2023, 11:51 AM

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We have arcsin(1 - 1/√(n + 2)) -> arcsin(1) = π/2, n -> ∞.
So, for n -> ∞ the series behaves like const/√(n + 2). Will that converge?

drowsy sluice Jan 19, 2023, 11:52 AM

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hmmm dirichlet series

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or p series

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diverges

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thx sir

#show if this series is convergent or divergent