What is the limit as x approaches 7-of (1-8x)/(x-7) ?

The limit as x approaches 7-of (1-8x)/(x-7) is infinity

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limit as x approaches 7-of (1-8x)/(x-7)

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

\infty

Solution steps

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

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

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

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

x \to 7 - lim (1 - 8 x) = - 55

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

= (- 55) (- \infty)

Apply Infinity Property:

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

= \infty

x \to 0 lim (2 ∣ x - 2 ∣ + 1)

x \to - 3 lim (\frac{3 x}{x ^{3} - 27})

x \to 3 lim (x csc (x))

x \to ab c lim (a x^{2} + b x + c)

t \to \frac{1}{3} lim (2 t + 7)

What is the limit as x approaches 7-of (1-8x)/(x-7) ?
The limit as x approaches 7-of (1-8x)/(x-7) is infinity