What is the limit as x approaches-3-of (x^2)/(x+3) ?

The limit as x approaches-3-of (x^2)/(x+3) is -infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches-3-of (x^2)/(x+3)

x \to - 3 - lim (\frac{x ^{2}}{x + 3})

- \infty

Solution steps

x \to - 3 - lim (\frac{x ^{2}}{x + 3})

\frac{x ^{2}}{x + 3} = x^{2} \frac{1}{x + 3}

= x \to - 3 - lim (x^{2} \frac{1}{x + 3})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to - 3 - lim (x^{2}) \cdot x \to - 3 - lim (\frac{1}{x + 3})

x \to - 3 - lim (x^{2}) = 9

x \to - 3 - lim (\frac{1}{x + 3}) = - \infty

= 9 (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

What is the limit as x approaches-3-of (x^2)/(x+3) ?
The limit as x approaches-3-of (x^2)/(x+3) is -infinity