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Let f(x)=(x+x^2+.....+x^n-n)/(x-1), x!=1...

Let `f(x)=(x+x^2+.....+x^n-n)/(x-1), x!=1,` then value of `f(1)` so that `f` is continuous is (A) `n` (B) `(n(n-1))/2` (C) `(n(n+1))/2` (D) `(n+1)/2`

A

`n`

B

`(n+1)/2`

C

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

D

`(n(n-1))/2`

Text Solution

Verified by Experts

The correct Answer is:
C
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