Which of the following values does the series the summation from k equals 0 to infinity of 1 over the product of 4 to the k power and k factorial represent?

Question

Which of the following values does the series  represent?

A	e-4
B	e4
C
D	None of these-the series does not converge

Answer 1

C; This is the Maclaurin series of e^x evaluated at x = 1/4, which is e^(1/4), which is written as in C.