What is the limit as x approaches 2 of (8/x-4)/(x-2) ?

The limit as x approaches 2 of (8/x-4)/(x-2) is -2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 2 of (8/x-4)/(x-2)

x \to 2 lim (\frac{\frac{8}{x} - 4}{x - 2})

- 2

Solution steps

x \to 2 lim (\frac{\frac{8}{x} - 4}{x - 2})

Simplify

\frac{\frac{8}{x} - 4}{x - 2} : - \frac{4}{x}

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

Plug in the value

x = 2

= - \frac{4}{2}

Simplify

= - 2

x \to 1 lim (x^{2} - 3 x)

x \to 0 lim (x^{π x})

x \to \infty lim (x 6^{x} + 7^{x} + 8^{x})

x \to 1 lim (x^{2} - 17)

t \to 0 lim (\frac{e ^{5 t} - 1}{sin ( t )})

What is the limit as x approaches 2 of (8/x-4)/(x-2) ?
The limit as x approaches 2 of (8/x-4)/(x-2) is -2