Consider the infinite series defined by
∞ ∑ (2n! /2^(2n))
(a) What is the value of r from the ratio test?
(b) What does this r value tell you about the series?
a - The value of r escaltes with each new term. It begins with: 1/2 and then it increases by 1/4 for every term thereafter to; 3/4, 1, 1 1/4, 1 1/2, 2........etc.
b - What this tells you is that the series diverges to infinity.