A Solution to #92 from Practice Exam

Note: There may be an easier way, but I have not found it yet!

 



Apply the formula you learned in Honors Precal for the partial sum of a geometric series with first term a and common ratio r, namely that the sum of n terms of the geometric series equals . This gives

        [*]



The second factor in the expression marked [*] is a limit of form  (L’Hôp.), and that limit becomes





The final answer from [*] above, after substituting for the limit, is therefore (1 − e2)(−1) = e2 − 1  6.389.