Consider the following series. (-1)+1 n+4 Find the following limit. (If the limit is infinite, enter '' or 1 lim n1=1+4 Determine the convergence or divergence of the series. =4 x as appropriate. If the limit does not otherwise exist, enter DNE.)

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Q: 8. (c) 2+ an+1 In 2+ an (d) In (1+ an) n

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Q: e Ratio Test to

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A: We have to evaluate the limit .

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A: See the detailed solution below.

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Q: For what integers m and n does both lim f(x) and lim f(x) exiat : x →1 mx? + n, x 1 %3D

A: for what integers m and n does both f(x) and f(x) exist:

Q: n' 2" n=1

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A: Since you have posted multiple questions as per our policy we will answer first question. Please…

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