4. Consider the following tests: n-th Term , Integral, Direct Comparison, Limit Comparison, Ratio, Root, and Alternating Series. In each series below, explain whether each test is applicable or why the test does not apply. If the test is applicable, explain what conclusion you can draw from that test. Also, if the series converges, state if the series is absolutely convergent or conditionally convergent. sin(e")+1 (a) Σ (c) (e) Σ, r > 0 2n+(-1)" n3+1 n=1 ( d ) Σ μ n+1 (b) Σ -Η" n%=D1 n=1

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