What is the limit as x approaches 8+of (7-x)/(8-x) ?

The limit as x approaches 8+of (7-x)/(8-x) is infinity

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limit as x approaches 8+of (7-x)/(8-x)

x \to 8 + lim (\frac{7 - x}{8 - x})

\infty

Solution steps

x \to 8 + lim (\frac{7 - x}{8 - x})

\frac{7 - x}{8 - x} = (7 - x) \frac{1}{8 - x}

= x \to 8 + lim ((7 - x) \frac{1}{8 - x})

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

x \to 8 + lim (7 - x) = - 1

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

= (- 1) (- \infty)

Apply Infinity Property:

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

= \infty

What is the limit as x approaches 8+of (7-x)/(8-x) ?
The limit as x approaches 8+of (7-x)/(8-x) is infinity