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

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

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

- \infty

Solution steps

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

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

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

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

x \to 2 + lim (3 + x) = 5

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

= 5 (- \infty)

Apply Infinity Property:

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

= - \infty

\frac{d}{d x} (ln (1 0^{- x} - 1))

\int e^{x^{2}} \cdot x^{3} d x

\frac{d}{d x} ((x^{2} - 3 x + 1)^{4})

5 x, \frac{5}{3} x, 14 - x^{2}

9 e^{x}

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