A) \[\infty \]
B) 1
C) 0
D) None of these
Correct Answer: B
Solution :
Given series \[\frac{1}{1\,.\,2}+\frac{1}{2\,.\,3}+\frac{1}{3\,.\,4}+...=\left( 1-\frac{1}{2} \right)+\left( \frac{1}{2}-\frac{1}{3} \right)+\left( \frac{1}{3}-\frac{1}{4} \right)+....\] Obviously the sum of series upto infinity is 1.
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