If is continuous at x = 0, then find f(0).

Given:

f(x) is continuous at x = 0

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

f(0)^{–} _{=} f(0) ^{+ =} f(0)

LHL = f(0)^{–} =

= 1

⇒ 1

Hence,f(0) = 1