How many terms of the series the summation from n equals 1 to infinity of the quotient of n factorial and negative 2 raised to the nth power do we need to add in order to find the sum with an...

Question

How many terms of the series  do we need to add in order to find the sum with an absolute value of its error to be less than 0.01?

A	3
B	5
C	7
D	The series diverges so no sum is possible.

Answer 1

The series is divergent because the numerator ultimately grows faster than the denominator.