BC Module $1$ DBA $($writfen portion$)$ This is a NON$-$CALCULATOR assignment. Show all your work and leave your answers in exact form. Let $f$ be the function given by $f(x)=\frac{e^x}{x^2-5x+6}$ A$)$ Find $\underset{x}{lim}f(x)$ and $\underset{x-}{lim}f(x)$ B$)$ Find all asymptotes to the graph of $f.$ Justify your answer using limits$.$ C$)$ Let $g$ be the function defined by $g(x)=\{\begin{array}{cc}f(x),& x<mn\; id="EditorElement\_1280970">0</mn>\\ \frac{\sqrt[\phantom{2}]{x^2+2x+4}}{12},& x0\end{array}$ Is $g$ continuous at $x=0?$ Use the definition of continuity to explain your answer. D$)$ Let $h(x)$ and $k(x)$ be defined by the following graphs.