For what value of `k` is the function `f(x)={(sin5x)/(3x),\ \ \ if\ x!=0,\ \ \ \ \ k ,\ \ \ if\ x=0` continuous at `x=0` ?

Explanation

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

\[
f(x) =
\begin{cases}
\frac{\sin(5x)}{3x} & \text{if } x \neq 0 \\
k & \text{if } x = 0
\end{cases}
...