# Homework 5 Maclaurin and Taylor polynomials (cont.) -...

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Matthew ChoiMath6B-01-W15-CHENAssignment HW5 due 02/12/2015 at 11:59pm PST1.(1 pt) Determine whether the following series convergesor diverges.n=1cos(nπ)n4/7InputCfor convergence andDfor divergence:Note:You have only one chance to enter your answer!2.(1 pt) Determine whether the following series convergesor diverges.n=1(-1)nsin1nInputCfor convergence andDfor divergence:Note:You have only one chance to enter your answer.3.(1 pt) For each of the following series, tell whether ornot you can apply the 3-condition test (i.e. the alternating seriestest). If you can apply this test, enter D if the series diverges,or C if the series converges. If you can’t apply this test (even ifyou know how the series behaves by some other test), enter N.1.n=1(-1)nnnn!2.n=1(-1)nenn!3.n=1(-1)ncos(nπ)n54.n=1(-1)nn!en5.n=1(-1)nn2+56.n=1(-1)nn!nn4.(1 pt) Determine whether the series is absolutely conver-gent, conditionally convergent, or divergent:n=1n(-2)n
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