Question

If function f(x) = $f'(2) = 6$, then the number of points at which f(x) is continuous, is :

• A. ∞
• B. 1
• C. 0
• D. None of these

Answer 1

Answer: (B)

1

Answer 2

Let x = a ∈ Q

f(1) = a f(a + ) = 1 – a or a

f(a –) = 1 – a or a

continuous at where 1 – a = a ⇒ a = 1/2

⇒ continuous at one point