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

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

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

\infty

Solution steps

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

Divide by highest denominator power:

\frac{1}{1 - \frac{4}{x}}

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

For

x

approaching

4

from the right

, x > 4 \Rightarrow 1 - \frac{4}{x} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\frac{1}{3 s + 2}

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

\frac{5 x}{x + 2}

7 x^{3}

\frac{\partial}{\partial x} (cos (x) + sin (y))

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