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

The limit as x approaches 4-of x/(x-4) is -infinity

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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 left

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

The denominator is a negative quantity approaching 0 from the left

= - \infty

x \to - 3 lim (x^{3} - 2 x^{2} + x + 7)

y = 3 ln (ln (x))

\int e^{\frac{x}{50}} d x

\frac{d}{d x} (\frac{3 x ^{2}}{2 x + 4})

\frac{\partial}{\partial y} ((x^{2} + y^{2})^{\frac{1}{3}})

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