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Question

If $f(x) = \begin{cases} \frac{1 - \cos Kx}{x}, & \text{if } x \neq 0 \\ \frac{\sin Kx}{1}, & \text{if } x = 0 \end{cases}$ is continuous at $x = 0$, then the value of $K$ is

$\pm 1$

$\frac{1}{2}$

0

$\pm 2$

Solution

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