Consider the series Answer: L = n=1 (-1)" 7² Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE". V lim nx an+1 an = L What can you say about the series using the Ratio Test? Answer "Convergent", "Divergent", or "Inconclusive". Answer: Divergent Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent". Answer: Divergent

Q: 11. Consider the function f(r) = e-2=. Find the first five terms in the Maclaurin series for f(r).…

A: given f(x)=e-2x

Q: 08 n=1 (-1) 凯

A: Consider the series

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A:

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A:

Q: tan-in The series is divergent by ratio test 2

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A:

Q: > an where a,, = In n Consider the series n=8 Compute the limit: an+1 lim (Enter "infinity" or "inf"…

A: apply ratio test

Q: 2. Using power series, evaluate lim x-0 sin x - x 3 X

A:

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A:

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A: Answer

Q: 3 n' (iv) En=1 2n³+5

A: (iv). Series  ∑n=1∞n32n3+5 diverges by divergence test for series.