Question

Let f(x) = $\lim_{n \rightarrow \infty}$ be continuous and differentiable every where. The a and b are –

• A. – 1/2, 3/2
• B. 1/2 , – 3/2
• C. 1/2, 3/2
• D. None

Answer 1

Answer: (A)

– 1/2, 3/2

Answer 2

Q f(x) is conti. at x = 1∴1 = a + b ........(1)

Now f(x) =

f '(x) =

∴ f ' (1 + ) = f"(1–) ⇒ –1= 2a ⇒ a = – 1/2

from (1) b = 3/2