1) Consider the following convergent series. 00 e-fn n=1 (a) [2 pts] Find the exact sum...

 

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1) Consider the following convergent series. 00 Σe-fn n=1 (a) [2 pts] Find the exact sum of the series. (b) [4 pts] By comparing the series with the associated improper integral, determine the minimum number of terms N to be summed so that the remainder/error in approximating the series with Sy is less than 10-6. (c) [2 pts] Find S, and the absolute error. Is the absolute error less than 10-6? 1) Consider the following convergent series. 00 Σe-fn n=1 (a) [2 pts] Find the exact sum of the series. (b) [4 pts] By comparing the series with the associated improper integral, determine the minimum number of terms N to be summed so that the remainder/error in approximating the series with Sy is less than 10-6. (c) [2 pts] Find S, and the absolute error. Is the absolute error less than 10-6?