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Examine the continuity of the given func...

Examine the continuity of the given function at given points `f(x)=(x+3x^2+5x^3+.....+(2n-1)x^n-n^2)/(x-1)`, for `x != 1` at `x=1 and =(n(n^2-1))/3`,for `x=1`

A

`(n(n+1)(2n-1))/(6)`

B

`(n(n+1)(2n-1))/(3)`

C

`(n(n+1)(4n-1))/(6)`

D

`(n(n+1)(4n-1))/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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