What is the limit as x approaches 4+of (x-2)/(x-4) ?

The limit as x approaches 4+of (x-2)/(x-4) 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 4+of (x-2)/(x-4)

x \to 4 + lim (\frac{x - 2}{x - 4})

\infty

Solution steps

x \to 4 + lim (\frac{x - 2}{x - 4})

\frac{x - 2}{x - 4} = (x - 2) \frac{1}{x - 4}

= x \to 4 + lim ((x - 2) \frac{1}{x - 4})

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 4 + lim (x - 2) \cdot x \to 4 + lim (\frac{1}{x - 4})

x \to 4 + lim (x - 2) = 2

x \to 4 + lim (\frac{1}{x - 4}) = \infty

= 2 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\int 2 x tan (x^{2}) d x

x \to - 3 lim (\frac{4 x}{x - 3})

\int sin (9 x) cos (2 x) d x

\int 15 cot^{4} (x) d x

\frac{\partial}{\partial x} (- 2 y cos^{2} (x))

What is the limit as x approaches 4+of (x-2)/(x-4) ?
The limit as x approaches 4+of (x-2)/(x-4) is infinity