What is the limit as x approaches 5-of (x-6)/(x-5) ?

The limit as x approaches 5-of (x-6)/(x-5) is infinity

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limit as x approaches 5-of (x-6)/(x-5)

x \to 5 - lim (\frac{x - 6}{x - 5})

\infty

Solution steps

x \to 5 - lim (\frac{x - 6}{x - 5})

\frac{x - 6}{x - 5} = (x - 6) \frac{1}{x - 5}

= x \to 5 - lim ((x - 6) \frac{1}{x - 5})

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 5 - lim (x - 6) \cdot x \to 5 - lim (\frac{1}{x - 5})

x \to 5 - lim (x - 6) = - 1

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

= (- 1) (- \infty)

Apply Infinity Property:

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

= \infty

e^{- 5 x}

3 y^{^{'}} - 6 y = 12

\int cos^{4} (3 x) sin (3 x) d x

t \frac{d ^{2} y}{d t ^{2}} + 4 \frac{d y}{d t} = t^{2}

y = - \frac{3}{2} x^{2} + 9 x + 9, (- 1, - \frac{3}{2})

What is the limit as x approaches 5-of (x-6)/(x-5) ?
The limit as x approaches 5-of (x-6)/(x-5) is infinity