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  1. Evaluate the following limits.

$$\lim_{x \rightarrow 1}\left\{ \frac{2x - 2}{x + 4} \right\}$$

$$\lim_{x \rightarrow - 1}\left\{ \frac{x^{2} + 9x + 8}{x^{2} - 6x - 7} \right\}$$

  1. Evaluate the following limits.

  1. limx → 0+{f(x)}

  2. limx → 0{f(x)}

  1. limx → 1{f(x)}

  2. limx → 1+{f(x)}

  1. limx → b{f(x)}

  2. limx → b+{f(x)}

  1. x = 0

  2. x = 1

  1. Numerically approximate the following limits.

$$f(x) = \frac{x^{2} + 5x - 36}{x^{3} - 5x^{2} + 3x + 9}$$

$$f(x) = \frac{x^{2} - 9x + 18}{x^{2} - x - 6}$$

  1. limx → 3{f(x)}

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