What is the limit as x approaches 4-of (x-9)/(x-4) ?

The limit as x approaches 4-of (x-9)/(x-4) is infinity

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limit as x approaches 4-of (x-9)/(x-4)

x \to 4 - lim (\frac{x - 9}{x - 4})

\infty

Solution steps

x \to 4 - lim (\frac{x - 9}{x - 4})

\frac{x - 9}{x - 4} = (x - 9) \frac{1}{x - 4}

= x \to 4 - lim ((x - 9) \frac{1}{x - 4})

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 4 - lim (x - 9) \cdot x \to 4 - lim (\frac{1}{x - 4})

x \to 4 - lim (x - 9) = - 5

x \to 4 - lim (\frac{1}{x - 4}) = - \infty

= (- 5) (- \infty)

Apply Infinity Property:

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

= \infty

y^{^{'}} = a - b y

\int t 1 + t t d t

f (x) = 1 - 10 x, at x = - 1

\int (- 1)^{n} x^{2 n} d x

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

What is the limit as x approaches 4-of (x-9)/(x-4) ?
The limit as x approaches 4-of (x-9)/(x-4) is infinity