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

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

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

\frac{1}{4}

Decimal

0.25

Solution steps

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

Simplify

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

f (x) = 5 3 x

\int sin (6 x) cos (8 x) d x

\frac{( s + 1 ) ^{2}}{s}

\frac{1}{s ^{2}}

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