What is the limit as x approaches 0 of x/(x^2-6x) ?

The limit as x approaches 0 of x/(x^2-6x) is -1/6

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^2-6x)

x \to 0 lim (\frac{x}{x ^{2} - 6 x})

- \frac{1}{6}

Decimal Notation

- 0.16666 \dots

Solution steps

x \to 0 lim (\frac{x}{x ^{2} - 6 x})

Simplify

\frac{x}{x ^{2} - 6 x} : \frac{1}{x - 6}

= x \to 0 lim (\frac{1}{x - 6})

Plug in the value

x = 0

= \frac{1}{0 - 6}

Simplify

= - \frac{1}{6}

f (x) = \frac{5 x - 7}{x + 1}, at x = 0

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

\frac{\partial}{\partial x} (6 e^{x y + 9})

f (x) = x^{2} - 2, at x = - 5

x \to 0 lim (2 x^{2} - 9 x + 5)

What is the limit as x approaches 0 of x/(x^2-6x) ?
The limit as x approaches 0 of x/(x^2-6x) is -1/6