Question

If f(x) = \left\\{ \begin{aligned} & \frac{1-\cos Kx}{x\sin x} ,\ \ \text{if x}\neq0 \\\ &\ \ \ \ \ \ \ \frac{1}{2}\ \ \ \ \ \ \ \ \ ,\ \ \ \text{if x=0} \end{aligned} \right. is continuous at x = 0, then the value of K is

• A. $±\frac{1}{2}$
• B. 0
• C. ±2
• D. ±1

Answer 1

Answer: (D)

±1

Answer 2

The correct answer is (D) : ±1.