f(x) = \(\begin{cases} \cfrac{3\text x}{|\text x|+2\text x},\quad \text x\neq 0 \\ 0,\quad \text x=0 \end{cases} \)
{3x/(|x| + 2x), x ≠ 0, 0, x = 0
Left Hand Limit(L.H.L.):
Right Hand Limit(R.H.L.):
Thus, \(\lim\limits_{\text x \to0}
\) f(x) does not exist.