# Removable discontinuities

Remove discontinuity points of piecewise functions by assigning appropriate values.

### Problem

Let $h(x)=\begin{cases} \dfrac{3x}{xe^{x}}&\text{for }x\neq 0 \\\\ k&\text{for }x=0 \end{cases}$
h is continuous for all real numbers.
What is the value of k?
Please choose from one of the following options.