For all ngeq1, prove that 1/(1. 2)+1/(2....

For all `ngeq1`, prove that `1/(1. 2)+1/(2. 3)+1/(3. 4)+dotdotdot+1/(n(n+1))=n/(n+1)`

A

`(n)/(n + 1)`

B

`(1)/(n (n + 1))`

C

`(2n)/(n + 1)`

D

`(2)/(n (n + 1))`

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The correct Answer is:

A

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