What is the limit as x approaches-2+of (x^2-9)/(x^2-2x-8) ?

The limit as x approaches-2+of (x^2-9)/(x^2-2x-8) is infinity

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limit as x approaches-2+of (x^2-9)/(x^2-2x-8)

x \to - 2 + lim (\frac{x ^{2} - 9}{x ^{2} - 2 x - 8})

\infty

Solution steps

x \to - 2 + lim (\frac{x ^{2} - 9}{x ^{2} - 2 x - 8})

\frac{x ^{2} - 9}{x ^{2} - 2 x - 8} = (x^{2} - 9) \frac{1}{x ^{2} - 2 x - 8}

= x \to - 2 + lim ((x^{2} - 9) \frac{1}{x ^{2} - 2 x - 8})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to - 2 + lim (x^{2} - 9) \cdot x \to - 2 + lim (\frac{1}{x ^{2} - 2 x - 8})

x \to - 2 + lim (x^{2} - 9) = - 5

x \to - 2 + lim (\frac{1}{x ^{2} - 2 x - 8}) = - \infty

= (- 5) (- \infty)

Apply Infinity Property:

- c \cdot (- \infty) = \infty

= \infty

n = 1 \sum \infty \frac{9 ^{n}}{n !}

x \to \infty lim (3 x + x^{2})

(0, 3), (3, 0)

\frac{d}{d x} (\frac{x ^{2} - 1}{x ^{2}})

\int x \cdot e^{x} d x

What is the limit as x approaches-2+of (x^2-9)/(x^2-2x-8) ?
The limit as x approaches-2+of (x^2-9)/(x^2-2x-8) is infinity