If the function f(x) = {{:((x^2-(k +2) x...

If the function `f(x) = {{:((x^2-(k +2) x+2k)/(2) ," for" xne 2),(2," for" x = 2):}` is continuous at `x = 2`, then `k` is equal to
a)`- (1)/(2)`b) -1 c) 0 d)`(1)/(2)`

A

`- (1)/(2)`

B

`-1`

C

`0`

D

`(1)/(2)`

Verified by Experts

The correct Answer is:

C

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