Given:

f(x) is continuous at x = 1

If f(x) to be continuous at x = 1,then,f(1)^–=f(1) ⁺ =f(1)

LHL = f(1)^– =

4 ....(1)

RHL = f(1) ⁺ =

⇒ k(1–0)²

⇒ k ....(2)

Since, f(x) is continuous at x = 1 & also

from (1) & (2)

k = 4