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(a) Does the series X∞ k=1 (−1)^k+1 /k + √ k converge? (b) Essay part. Which...

(a) Does the series X∞ k=1 (−1)^k+1 /k + √ k converge? (b) Essay part. Which tests can be applied to determine the convergence or divergence of the above series. For each test explain in your own words why and how it can be applied, or why it cannot be applied. (i) (2 points) Alternating Series Test. (ii) Absolute Convergence Test

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