1. Calcule el siguiente limite $$ \lim _{x \rightarrow 2} \frac{(x+3)^{2}-3}{x-3} $$

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Calculate the limit $$ \lim_{x\rightarrow 2} \frac{(x+3)^{2}-3}{x-3} $$.
Evaluate the limit by following steps:
- step0: Evaluate the limit:
  $$\lim _{x\rightarrow 2}\left(\frac{\left(x+3\right)^{2}-3}{x-3}\right)$$
- step1: Subtract the terms:
  $$\lim _{x\rightarrow 2}\left(\frac{x^{2}+6x+6}{x-3}\right)$$
- step2: Rewrite the expression:
  $$\frac{\lim _{x\rightarrow 2}\left(x^{2}+6x+6\right)}{\lim _{x\rightarrow 2}\left(x-3\right)}$$
- step3: Calculate:
  $$\frac{22}{\lim _{x\rightarrow 2}\left(x-3\right)}$$
- step4: Calculate:
  $$\frac{22}{-1}$$
- step5: Calculate:
  $$-22$$
El límite de la expresión dada es -22.
El límite es -22.

1. Calcule el siguiente limite \( \lim _{x \rightarrow 2} \frac{(x+3)^{2}-3}{x-3} \)

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