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

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

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

\infty

Solution steps

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

\frac{x + 3}{x + 2} = (x + 3) \frac{1}{x + 2}

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

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

x \to - 2 + lim (x + 3) = 1

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

= 1 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

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