What is the limit as x approaches 6+of x/(x-6) ?

The limit as x approaches 6+of x/(x-6) 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 6+of x/(x-6)

x \to 6 + lim (\frac{x}{x - 6})

\infty

Solution steps

x \to 6 + lim (\frac{x}{x - 6})

Divide by highest denominator power:

\frac{1}{1 - \frac{6}{x}}

= x \to 6 + lim (\frac{1}{1 - \frac{6}{x}})

For

x

approaching

6

from the right

, x > 6 \Rightarrow 1 - \frac{6}{x} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\frac{1}{x ^{2}} 4

\frac{\partial}{\partial x} (\frac{6 x - 8 y}{6 x + 8 y})

\frac{\partial}{\partial y} ((x^{2} + y^{2})^{\frac{1}{2}})

f (x) = x^{2} - 4

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

What is the limit as x approaches 6+of x/(x-6) ?
The limit as x approaches 6+of x/(x-6) is infinity