What is the limit as x approaches 0 of x/(x^2-5x) ?

The limit as x approaches 0 of x/(x^2-5x) is -1/5

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 x/(x^2-5x)

x \to 0 lim (\frac{x}{x ^{2} - 5 x})

- \frac{1}{5}

Decimal Notation

- 0.2

Solution steps

x \to 0 lim (\frac{x}{x ^{2} - 5 x})

Simplify

\frac{x}{x ^{2} - 5 x} : \frac{1}{x - 5}

= x \to 0 lim (\frac{1}{x - 5})

Plug in the value

x = 0

= \frac{1}{0 - 5}

Simplify

= - \frac{1}{5}

x \to \infty + lim (x^{2})

y = x^{2} - 2 x - 4

cos (x^{3})

\frac{\partial}{\partial z} (x \cdot ln (y - z))

- \frac{9}{2} x^{2} + 3 x + 3

What is the limit as x approaches 0 of x/(x^2-5x) ?
The limit as x approaches 0 of x/(x^2-5x) is -1/5