QuestionThe First Gate Upon arriving at the first gate, you ask your computer to translate the riddle. "These appear to be limits", your computer replies. "If you provide me with the answer to each of below questions, I will compile, translate, and communicate the passcode to the gate. There is note here that the parameter $a$ represents a real number such that $0<a<9$." Your computer also reminds you to type "infinity" for $\infty$, "-infinity" for $-\infty$, and "NA" if the limit does not exist. You grab your notebook and pencil and begin. $$\begin{array}{r} \lim _{x \rightarrow a^{-}} \frac{x+9}{x-a}= \\ \lim _{x \rightarrow a^{+}} \frac{x+9}{x-a}= \\ \lim _{x \rightarrow a} \frac{x+9}{x-a}= \end{array}$$ $\square$ $\square$ $\square$