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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

- \infty

Solution steps

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

Divide by highest denominator power:

\frac{1}{1 + \frac{2}{x}}

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

For

x

approaching

- 2

from the right

, x > - 2 \Rightarrow 1 + \frac{2}{x} < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

x \to 0 lim (\frac{x}{ln ( 5 x + 1 )})

x \to 2 lim (\frac{x ^{3} - 2 x ^{2} - 6 x + 12}{x ^{2} + 3 x - 10})

x \to \infty lim (4 e^{- x} + 6 x - 3)

x \to 9 - lim (\frac{x}{x ^{2} - 81})

x \to 0 + lim (e^{x^{x}})

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