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

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

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limit as x approaches 8-of x/(x-8)

x \to 8 - lim (\frac{x}{x - 8})

- \infty

Solution steps

x \to 8 - lim (\frac{x}{x - 8})

Divide by highest denominator power:

\frac{1}{1 - \frac{8}{x}}

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

For

x

approaching

8

from the left

, x < 8 \Rightarrow 1 - \frac{8}{x} < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

n = 1 \sum \infty 4 \cdot 3^{n}

\int \frac{x}{x - 4} d x

y^{^{'''}} + 8 y = 0

\frac{d}{d t} (6 t^{2})

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

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