1/1×2+1/2×3+1/3×4+
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( frac{1}{1 times 2}+frac{1}{2 times 3}+frac{1}{3 times 4}+ldots )

JEE/Engineering Exams
Maths
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1/1×2+1/2×3+1/3×4+
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( frac{1}{1 times 2}+frac{1}{2 times 3}+frac{1}{3 times 4}+ )
( left(1-frac{1}{2}right)+left(frac{1}{2}-frac{1}{3}right)+left(frac{1}{3}-frac{1}{4}right)+frac{1}{left(frac{1}{n-11}-frac{1}{n}right)} )
( =mid-frac{1}{n}=frac{n-1}{n} )

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