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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{d}{d x} (\frac{3 x}{x ^{2} + x})

f (x) = \frac{3}{x}, (1, 3)

y \to 0 lim (\frac{8}{y ^{2} + y} - \frac{8}{y})

y^{^{''}} + 3 y^{^{'}} - 10 y = x (e^{x} + 1)

\frac{d}{d x} (3^{- 6 x + 6})

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