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Please follow the each instruction (Clear and step by step work is needed for each problem). 1. Consider the convergent series n = 1 2

Please follow the each instruction (Clear and step by step work is needed for each problem).

1. Consider the convergent series n=12n31(1)n. How many terms must be summed so that the absolute error is within 0.001 from the true value of infinite sum? Justify your answer using a theorem.

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