What is the limit as x approaches 0 of (4/(x+2)-2)/x ?

The limit as x approaches 0 of (4/(x+2)-2)/x is -1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 0 of (4/(x+2)-2)/x

x \to 0 lim (\frac{\frac{4}{x + 2} - 2}{x})

- 1

Solution steps

x \to 0 lim (\frac{\frac{4}{x + 2} - 2}{x})

Simplify

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

= x \to 0 lim (- \frac{2}{x + 2})

Plug in the value

x = 0

= - \frac{2}{0 + 2}

Simplify

= - 1

x \to 9 lim (lo g_{3} (x))

x \to 0 lim (\frac{2 + x}{1 + x})

x \to 0 lim (\frac{ln ( 1 - x ^{2} )}{x})

x \to \infty lim ((\frac{x + 1}{x - 1})^{x - 1})

What is the limit as x approaches 0 of (4/(x+2)-2)/x ?
The limit as x approaches 0 of (4/(x+2)-2)/x is -1