If `f(x)={((1-coskx)/(xsinx) ,, x!=0),(1/2 ,, x=0):}` is continuous at x=0, find k

Explanation

To determine the value of \( k \) for which the function

\[
f(x) =
\begin{cases}
\frac{1 - \cos(kx)}{x \sin x} & \text{if } x \neq 0 \\
\frac{1}{2} & \text{if } x = 0
\end{cases}
...