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

Popular >

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) (- \infty)

Apply Infinity Property:

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

= \infty

\int \frac{e ^{x}}{e ^{x} - 1} d x

\int_{1}^{2} (x - \frac{1}{x}) d x

\int_{2}^{5} \frac{ln ( x ^{5} )}{x} d x

(1 + x)^{\frac{1}{3}}

\int 5 e^{2 x} d x

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