Expert Answer to "Use limit theorems as neede to evaluate each..."

sjeikdom0

Answered question

2021-10-20

Use limit theorems as neede to evaluate each of the following limits
b)

lim_{x \to 2^{-}} \frac{3 x^{2} - 5 x - 2}{| x^{3} - 8 |}

Leonard Stokes

Skilled2021-10-21Added 98 answers

Given,

lim_{x \to 2^{-}} \frac{3 x^{2} - 5 x - 2}{| x^{3} - 8 |}

lim_{x \to 2^{-}} \frac{3 x^{2} - 5 x - 2}{- (x^{3} - 8)}

lim_{x \to 2^{-}} \frac{3 x^{2} + x - 6 x - 2}{(- x - 2) (x^{2} + 2 x + 4)}

lim_{x \to 2^{-}} \frac{x (3 x + 1) - 2 (3 x + 1} {- (x - 2) (x^{2} + 2 x + 4)}}{}

lim_{x \to 2^{-}} \frac{(x - 2) (3 x + 1)}{- (x - 2) (x^{2} + 2 x + 4)}

lim_{x \to 2^{-}} \frac{3 x + 1}{- (x^{2} + 2 x + 4)} = \frac{7}{- 12}

Answer:

- \frac{7}{12}

Jeffrey Jordon

Expert2022-07-05Added 2605 answers

Answer is given below (on video)

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