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

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

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

- 6

Solution steps

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

Simplify

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

= x \to 0 lim (x - 6)

Plug in the value

x = 0

= 0 - 6

Simplify

= - 6

\frac{\partial}{\partial x} (\frac{4 x y ^{2}}{x ^{2} + y ^{4}})

\frac{d y}{d x} = \frac{x ^{2} - 2 y}{x}

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

\frac{d}{d x} (sin (3 x))

n = 1 \sum \infty (\frac{2}{3})^{n + 2}

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