1. Encuentre $$ \lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3} $$

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Calculate the limit $$ \lim_{x\rightarrow -3} \frac{x^{2}-9}{x^{2}+2x-3} $$.
Evaluate the limit by following steps:
- step0: Evaluate using transformations:
  $$\lim _{x\rightarrow -3}\left(\frac{x^{2}-9}{x^{2}+2x-3}\right)$$
- step1: Reduce the fraction:
  $$\lim _{x\rightarrow -3}\left(\frac{x-3}{x-1}\right)$$
- step2: Rewrite the expression:
  $$\frac{\lim _{x\rightarrow -3}\left(x-3\right)}{\lim _{x\rightarrow -3}\left(x-1\right)}$$
- step3: Evaluate:
  $$\frac{-6}{\lim _{x\rightarrow -3}\left(x-1\right)}$$
- step4: Evaluate:
  $$\frac{-6}{-4}$$
- step5: Reduce the fraction:
  $$\frac{3}{2}$$
La limitante de $$ \frac{x^{2}-9}{x^{2}+2x-3} $$ cuando $$ x $$ se acerca a -3 es $$ \frac{3}{2} $$ o 1.5.
La limitante es $$ \frac{3}{2} $$ o 1.5.

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