# How do I find one-sided limits of piecewise functions?

If x = c is the junction for the two pieces $y = f \left(x\right) , x \in \left(a , c\right)$ and $y = g \left(x\right) , x \in \left(c , b\right)$, the one-sided limits at the junction x = c are $h \to 0$ of $f \left(c - h\right) \mathmr{and} g \left(c + h\right)$.