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Q13. Consider the following convergent alternating series: S = (-1)n In(n) You may find it useful to n=2 know that 0 2. (a) [3 points]
Q13. Consider the following convergent alternating series: S = (-1)n In(n) You may find it useful to n=2 know that 0 2. (a) [3 points] Is this series absolutely convergent? Justify your answer, and clearly state the name the test you are using. (b) [Bonus: 1 point] Is it accurate to say that this series is conditionally convergent? Give a brief justification based on your answer to part (a). (c) [2 points] Give an upper bound (rounded to 4 decimal places) on the error | Riso| if we use the partial sum S150 to estimate S. Briefly justify your answer, and state the name of the theorem you're using. (You do not need to compute S150)
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