Given:

f(x) is continuous at x = 0

For f(x) to be continuous at x = 0,f(0)^– = f(0) ⁺ = f(0)

LHL = f(0)^– =

1 (a + 1) + 1

(a + 1) + 1

f(0)^–a + 2 ...... (1)

RHL = f(0 ⁺ ) =

Take the complex conjugate of

,

i.e, and multiply it with numerator and denominator.

(a + b)(a–b) = a²– b²

f(0) ⁺ ...... (2)

since, f(x) is continuous at x = 0,From (1) & (2),we get,

a + 2 =

a = –2

a =

Also,

f(0)^– ₌ f(0) ^{+ =} f(0)

f(0) = c

c = a + 2 =

c =

So the values of a = ,c = and b = R–{o}(any real number except 0 )