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Consider the infinite series defined by

∞ ∑ (2n! /2^(2n))

n=1

(a) What is the value of r from the ratio test?

(b) What does this r value tell you about the series?

 Aug 23, 2021
 #1
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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.

 Aug 23, 2021

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