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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 2 of (x-2)/(4-x^2)

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

- \frac{1}{4}

Decimal

- 0.25

Solution steps

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

Simplify

\frac{x - 2}{4 - x ^{2}} : - \frac{1}{x + 2}

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

Plug in the value

x = 2

= - \frac{1}{2 + 2}

Simplify

= - \frac{1}{4}

\frac{\partial}{\partial x} (\frac{x ^{2} - y ^{2}}{2})

\frac{\partial}{\partial x} (\frac{1}{( x + 3 y )})

\frac{d}{d x} (\frac{9}{4 ( 1 + x ) ^{\frac{5}{2}}})

\int \frac{x}{3 - x ^{4}} d x

\frac{x ^{\frac{3}{2}}}{3} - x^{\frac{1}{2}}

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