In the problem that follow, use clear and logical reasoning, stating appropriate

Question

In the problem that follow, use clear and logical reasoning, stating appropriate theorems including naming the theorems used (must use among these various Series Test theorems or Known Series stated previously (e.g. , nth Term Test, integral Test, Direct Comparison Test, Limit Comparison Test. Ratio Test, Root Test, ). Given each of the series sigma an, noted below, determine whether the series converges or diverges. Must show work and reasoning clearly and logically. a) sigma n = 1 to infinity sin (1/n^2) b)recursive series definition for sigma n = 1 to infinity an where a1 = 3, an+1 = n+1/3n+2 an, for n > = 1.

Explanation / Answer

Q9A>>Diverges.

Q9B>>Converges.

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