What is the limit as x approaches-5+of (x-5)/(x+5) ?

The limit as x approaches-5+of (x-5)/(x+5) 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-5+of (x-5)/(x+5)

x \to - 5 + lim (\frac{x - 5}{x + 5})

- \infty

Solution steps

x \to - 5 + lim (\frac{x - 5}{x + 5})

\frac{x - 5}{x + 5} = (x - 5) \frac{1}{x + 5}

= x \to - 5 + lim ((x - 5) \frac{1}{x + 5})

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 - 5 + lim (x - 5) \cdot x \to - 5 + lim (\frac{1}{x + 5})

x \to - 5 + lim (x - 5) = - 10

x \to - 5 + lim (\frac{1}{x + 5}) = \infty

= (- 10) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

What is the limit as x approaches-5+of (x-5)/(x+5) ?
The limit as x approaches-5+of (x-5)/(x+5) is -infinity