List the three conditions for continuity $at$ a point.

Find $at$ least one point $at$ which each function below $is$ not continuous and state which $of$ the $3$ conditions $in$ the definition $of$ continuity $is$ violated $at$

that point.

$A.f(x)=\frac{x+5}{x-3}$

$B.g(x)=\frac{x^2+x-6}{x-2}$

$C.h(x)=\frac{x}{x^2-6x+9}$