Let $$ f(x)=\frac{x^{2}-3 x-18}{x-6} $$. Find a) $$ \lim _{x \rightarrow 6} f(x) $$, b) $$ \lim _{x \rightarrow 0} f(x) $$, and $$ \left.c\right) \lim _{x \rightarrow-3} f(x) $$

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Calculate or simplify the expression $$ \lim_{x \rightarrow 6} \frac{x^{2}-3x-18}{x-6} $$.
Evaluate the limit by following steps:
- step0: Evaluate using transformations:
  $$\lim _{x\rightarrow 6}\left(\frac{x^{2}-3x-18}{x-6}\right)$$
- step1: Reduce the fraction:
  $$\lim _{x\rightarrow 6}\left(x+3\right)$$
- step2: Rewrite the expression:
  $$\lim _{x\rightarrow 6}\left(x\right)+\lim _{x\rightarrow 6}\left(3\right)$$
- step3: Calculate:
  $$6+3$$
- step4: Calculate:
  $$9$$
Calculate or simplify the expression $$ \lim_{x \rightarrow 0} \frac{x^{2}-3x-18}{x-6} $$.
Evaluate the limit by following steps:
- step0: Evaluate the limit:
  $$\lim _{x\rightarrow 0}\left(\frac{x^{2}-3x-18}{x-6}\right)$$
- step1: Rewrite the expression:
  $$\frac{\lim _{x\rightarrow 0}\left(x^{2}-3x-18\right)}{\lim _{x\rightarrow 0}\left(x-6\right)}$$
- step2: Calculate:
  $$\frac{-18}{\lim _{x\rightarrow 0}\left(x-6\right)}$$
- step3: Calculate:
  $$\frac{-18}{-6}$$
- step4: Calculate:
  $$3$$
Calculate or simplify the expression $$ \lim_{x \rightarrow -3} \frac{x^{2}-3x-18}{x-6} $$.
Evaluate the limit by following steps:
- step0: Evaluate the limit:
  $$\lim _{x\rightarrow -3}\left(\frac{x^{2}-3x-18}{x-6}\right)$$
- step1: Rewrite the expression:
  $$\frac{\lim _{x\rightarrow -3}\left(x^{2}-3x-18\right)}{\lim _{x\rightarrow -3}\left(x-6\right)}$$
- step2: Calculate:
  $$\frac{0}{\lim _{x\rightarrow -3}\left(x-6\right)}$$
- step3: Calculate:
  $$\frac{0}{-9}$$
- step4: Calculate:
  $$0$$
a) $$ \lim _{x \rightarrow 6} f(x) = 9 $$

b) $$ \lim _{x \rightarrow 0} f(x) = 3 $$

c) $$ \lim _{x \rightarrow -3} f(x) = 0 $$
a) $$ \lim_{x \rightarrow 6} f(x) = 9 $$ b) $$ \lim_{x \rightarrow 0} f(x) = 3 $$ c) $$ \lim_{x \rightarrow -3} f(x) = 0 $$

Let . Find a) , b) , and

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