If then what should be the value of k so that f(x) is continuous at x = 0.

Question

Philoid · Accepted Answer

we have to find the value of 'k' such that f(x) is continuous at x = 0

If f(x) is be continuous at x = 0,then, f(0)^–=f(0) ⁺ = f(0)

LHL = f(0)^–=

⇒ –2×0² + k

⇒ k ...(1)

RHL = f(0) ⁺ =

⇒ 2×0² + k

⇒ k ...(2)

From (1) & (2),we get , f(0)^– ₌ f(0) ⁺

So the value of k can be any real number(R),so that f(x) is continuous at x = 0