What is the limit as x approaches 2+of (x-1)/(x-2) ?

The limit as x approaches 2+of (x-1)/(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-1)/(x-2)

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

\infty

Solution steps

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

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

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

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

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

= 1 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\int_{1}^{t} 15 x^{- 3} d x

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

\int sec (π x) tan (π x) d x

\int 8 e^{8 x - 3} d x

x \to 6 lim ((\frac{1}{x - 6})^{2})

What is the limit as x approaches 2+of (x-1)/(x-2) ?
The limit as x approaches 2+of (x-1)/(x-2) is infinity