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

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

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+1)-4)/x

x \to 0 lim (\frac{\frac{4}{x + 1} - 4}{x})

- 4

Solution steps

x \to 0 lim (\frac{\frac{4}{x + 1} - 4}{x})

Simplify

\frac{\frac{4}{x + 1} - 4}{x} : - \frac{4}{x + 1}

= x \to 0 lim (- \frac{4}{x + 1})

Plug in the value

x = 0

= - \frac{4}{0 + 1}

Simplify

= - 4

y^{^{'}} = \frac{x}{y}, y (1) = 2

\int y^{4} d y

(- 5.1) (7.8)

\frac{d y}{d x} = \frac{x ^{2}}{y + x ^{3} y}

\frac{x ^{2} + 3}{2}

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