What is the limit as x approaches 0 of ((-6+x)^2-36)/x ?

The limit as x approaches 0 of ((-6+x)^2-36)/x is -12

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 ((-6+x)^2-36)/x

x \to 0 lim (\frac{( - 6 + x ) ^{2} - 36}{x})

- 12

Solution steps

x \to 0 lim (\frac{( - 6 + x ) ^{2} - 36}{x})

Simplify

\frac{( - 6 + x ) ^{2} - 36}{x} : x - 12

= x \to 0 lim (x - 12)

Plug in the value

x = 0

= 0 - 12

Simplify

= - 12

\frac{d}{d x} (- x^{3} + 2 x^{2} + 11 x + a)

f (x) = tan (x) sin (6 x^{3})

\frac{d}{d x} (1 0^{x} - 1 0^{- x})

f (x) = (x^{2} - \frac{2}{x})^{- 5}

x \to \infty lim (13 x (e^{\frac{1}{x}}) - 13 x)

What is the limit as x approaches 0 of ((-6+x)^2-36)/x ?
The limit as x approaches 0 of ((-6+x)^2-36)/x is -12