Question: Let > 0 b e a fixed real number. Calculate: k = 0 k k ! e - [ H i n t : This

Let >0be a fixed real number. Calculate:
k=0kk!e-
[Hint: This series should look like the Maclaurin series for a familiar function. Identify the
function associated with the power series to find the answer.]
Let > 0 b e a fixed real number. Calculate: k = 0

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