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Question

Question: \[\left\lbrack 1 + \frac{1}{2!} + \frac{1}{4!} + ....\infty \right\rbrack^{2} - \left\lbrack 1 + \fr...

[1+12!+14!+....∞]2−[1+13!+15!+.....∞]2=\left\lbrack 1 + \frac{1}{2!} + \frac{1}{4!} + ....\infty \right\rbrack^{2} - \left\lbrack 1 + \frac{1}{3!} + \frac{1}{5!} + .....\infty \right\rbrack^{2} =

A

0

B

1

C

−1- 1

D

2

Answer

1

Explanation

Solution

(0.5)−(0.5)22+(0.5)33−(0.5)44+....(0.5) - \frac{(0.5)^{2}}{2} + \frac{(0.5)^{3}}{3} - \frac{(0.5)^{4}}{4} + .....