Given:

f(x) is continuous at x = 0 & f(0) = k

If f(x) to be continuous at x = 0,then

f(0)^– ₌ f(0) ^{+ =} f(0)

LHL = f(0)^– =

[By Applying L – Hospital Rule.]

Hence, L.H.L = 0

As f(x) is continuous at x = 0.

Then, k = L.H.L

K = 0