What is the limit as x approaches-2-of (1-x)/(x^2-4) ?

The limit as x approaches-2-of (1-x)/(x^2-4) is infinity

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limit as x approaches-2-of (1-x)/(x^2-4)

x \to - 2 - lim (\frac{1 - x}{x ^{2} - 4})

\infty

Solution steps

x \to - 2 - lim (\frac{1 - x}{x ^{2} - 4})

\frac{1 - x}{x ^{2} - 4} = (1 - x) \frac{1}{x ^{2} - 4}

= x \to - 2 - lim ((1 - x) \frac{1}{x ^{2} - 4})

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 (1 - x) \cdot x \to - 2 - lim (\frac{1}{x ^{2} - 4})

x \to - 2 - lim (1 - x) = 3

x \to - 2 - lim (\frac{1}{x ^{2} - 4}) = \infty

= 3 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

n = 1 \sum \infty 3^{n} x^{n} n!

\int (x - 1)^{9} d x

\frac{d x}{d t} + 4 t x = t

(- 3, 5), (- 1, - 4)

\frac{\partial}{\partial u} (\frac{1}{3} (u + v))

What is the limit as x approaches-2-of (1-x)/(x^2-4) ?
The limit as x approaches-2-of (1-x)/(x^2-4) is infinity