Let f(x)={{:(x^(2)+1,, x <= 2),(x +k, ,x...

Let `f(x)={{:(x^(2)+1,, x <= 2),(x +k, ,x > 2) :}` and `lim_(xrarr2)f(x)` exist, then the value of `k` is
Select one:
a. `(1)/(2)`
b. `5`
c. `4`
d. `3`

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