Mathematics_Class12_ContinuityDiffrentiablity

Question

If f(x)=\(\frac{x^2-4}{x-2}\) and g(x)=x+2, \(x \in \mathbb{R}\) , then which of the following is correct

(a)Both f and g are continuous at x=2

(b) Both f and g are discontinuous at x=2

(c)f is continuous at x=2 but g is discontinuous at x=2

(d)f is discontinuous at x=2 but g is continuous at x=2

Answer 1

The correct answer is: (d) f is discontinuous at x=2 but g is continuous at x=2