Question

If f(x) = $\lim_{x \rightarrow 0}\left\{ \left\lbrack \frac{100x}{\sin x} \right\rbrack + \left\lbrack \frac{99\sin x}{x} \right\rbrack \right\}$ is continuous but not

differentiable at x = 0 then –

• A. a ∈ (–1, 0)
• B. a ∈ (0, 2]
• C. a ∈ (0,1]
• D. a ∈ [1, 2)

Answer 1

Answer: (C)

a ∈ (0,1]

Answer 2

We know is a ∈ (0, 1] f(x) is only continuous & if a > 1 f(x) is differentiable also