What is the limit as x approaches 8-of x/(x^2-64) ?

The limit as x approaches 8-of x/(x^2-64) is -infinity

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limit as x approaches 8-of x/(x^2-64)

x \to 8 - lim (\frac{x}{x ^{2} - 64})

- \infty

Solution steps

x \to 8 - lim (\frac{x}{x ^{2} - 64})

\frac{x}{x ^{2} - 64} = x \frac{1}{x ^{2} - 64}

= x \to 8 - lim (x \frac{1}{x ^{2} - 64})

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 8 - lim (x) \cdot x \to 8 - lim (\frac{1}{x ^{2} - 64})

x \to 8 - lim (x) = 8

x \to 8 - lim (\frac{1}{x ^{2} - 64}) = - \infty

= 8 (- \infty)

Apply Infinity Property:

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

= - \infty

\frac{d}{d x} (\frac{- 2 x ^{2} + 9}{9 - x ^{2}})

y^{^{'}} = (y + 2 t)^{2}, y (0) = 3

\frac{\partial}{\partial x} (x^{7} - 6 x y - 3 y^{2})

\int (sin (\frac{x}{2}) + cos (\frac{x}{2}))^{2} d x

\frac{2 ( s + 1 )}{s ( s ^{2} + s + 2 )}

What is the limit as x approaches 8-of x/(x^2-64) ?
The limit as x approaches 8-of x/(x^2-64) is -infinity