What is the limit as x approaches 8-of (x+5)/(x-8) ?

The limit as x approaches 8-of (x+5)/(x-8) is -infinity

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limit as x approaches 8-of (x+5)/(x-8)

x \to 8 - lim (\frac{x + 5}{x - 8})

- \infty

Solution steps

x \to 8 - lim (\frac{x + 5}{x - 8})

\frac{x + 5}{x - 8} = (x + 5) \frac{1}{x - 8}

= x \to 8 - lim ((x + 5) \frac{1}{x - 8})

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 8 - lim (x + 5) \cdot x \to 8 - lim (\frac{1}{x - 8})

x \to 8 - lim (x + 5) = 13

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

= 13 (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

x \to \infty lim (0, + x)

x \to 0 + lim ((1 + 3 x)^{\frac{4}{x}})

x \to 0 lim (x + [x])

x \to 10 lim (20)

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

What is the limit as x approaches 8-of (x+5)/(x-8) ?
The limit as x approaches 8-of (x+5)/(x-8) is -infinity