Calculate the partial sum of the given series

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Reference no: EM131004252

Consider the serie _n=1Σ^∞ e^-2n

a. Determine the type sequence is _n=1{a_n}^∞ where a_n is the n^th terms of the given above series.

b. Calculate the partial sum S_n of the series.

c. Calculate the limit of the partial sum lim_n→∞S_n, then conclude about the convergence of the series.

Reference no: EM131004252

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