1) Check the convergence/divergence of the following series (12 pts). Give reasons for your answers. a) Σ. (1-1)" b) Σ=1

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1) Check the convergence/divergence of the following series (12 pts). Give reasons for your answers. a) Σ. (1-1)" b) Σ=1 (21)2 nn n=1 Too =1 2) Which of the following series converge absolutely, which converge, and which diverge? Give reasons for your answers. (12 pts) 1 1 1 a) Σ8-1(-1)" (" inn In-Inn b) 1 + 1 1 1 + + 16 25 36 4 + 64 9 49 3) Determine how many terms should be used to estimate the sume of the entire series with an error of less than 0.001. 2-1)+(2+3) n=