TIFR-2016-Maths-A: 1

Question

The value of the product $\left ( 1+\frac{1}{1!} +\frac{1}{2!}+\cdots \right )\left ( 1-\frac{1}{1!} +\frac{1}{2!}-\frac{1}{3!}+\cdots \right )$ is 

• A. $1$
• B. $e^{2}$
• C. $0$
• D. $log_{e} \:2$.