What is the limit as x approaches 8+of (x+5)/(x-8) ?

The limit as x approaches 8+of (x+5)/(x-8) 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 8+of (x+5)/(x-8)

x \to 8 + lim (\frac{x + 5}{x - 8})

\infty

Solution steps

x \to 8 + lim (\frac{x + 5}{x - 8})

\frac{x + 5}{x - 8} = (x + 5) \frac{1}{x - 8}

= x \to 8 + lim ((x + 5) \frac{1}{x - 8})

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 8 + lim (x + 5) \cdot x \to 8 + lim (\frac{1}{x - 8})

x \to 8 + lim (x + 5) = 13

x \to 8 + lim (\frac{1}{x - 8}) = \infty

= 13 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

What is the limit as x approaches 8+of (x+5)/(x-8) ?
The limit as x approaches 8+of (x+5)/(x-8) is infinity