What is the limit as x approaches 8-of (x-9)/(x-8) ?

The limit as x approaches 8-of (x-9)/(x-8) is infinity

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limit as x approaches 8-of (x-9)/(x-8)

x \to 8 - lim (\frac{x - 9}{x - 8})

\infty

Solution steps

x \to 8 - lim (\frac{x - 9}{x - 8})

\frac{x - 9}{x - 8} = (x - 9) \frac{1}{x - 8}

= x \to 8 - lim ((x - 9) \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 - 9) \cdot x \to 8 - lim (\frac{1}{x - 8})

x \to 8 - lim (x - 9) = - 1

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

= (- 1) (- \infty)

Apply Infinity Property:

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

= \infty

3 x, 7 x^{2}

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

x \to 0 lim ((5 x - 3)^{2})

\frac{( 2 s + 1 )}{( s + 1 ) ^{2}}

x y y^{^{'}} = y^{2} + x 4 x^{2} + y^{2}

What is the limit as x approaches 8-of (x-9)/(x-8) ?
The limit as x approaches 8-of (x-9)/(x-8) is infinity