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) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

\int 5 x^{- 6} d x

\frac{1}{8}

x \to 5 lim (\frac{9 x}{x ^{2} - 25})

\frac{\partial}{\partial y} (x y ln (y))

x \to 0 lim (\frac{5 x}{x})

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