What is the limit as x approaches 8+of x/(x-8) ?

The limit as x approaches 8+of x/(x-8) is infinity

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limit as x approaches 8+of x/(x-8)

x \to 8 + lim (\frac{x}{x - 8})

\infty

Solution steps

x \to 8 + lim (\frac{x}{x - 8})

Divide by highest denominator power:

\frac{1}{1 - \frac{8}{x}}

= x \to 8 + lim (\frac{1}{1 - \frac{8}{x}})

For

x

approaching

8

from the right

, x > 8 \Rightarrow 1 - \frac{8}{x} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

h \to 0 lim (f (x, h) (x + h))

x \to 0 lim ((4 x)^{x})

x \to 0 lim ((1 + x^{2})^{\frac{3}{x}})

x \to - \infty lim (e^{x} + 3)

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

What is the limit as x approaches 8+of x/(x-8) ?
The limit as x approaches 8+of x/(x-8) is infinity