What is the limit as x approaches 8-of (-7)/(x^2-8x) ?

The limit as x approaches 8-of (-7)/(x^2-8x) is infinity

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limit as x approaches 8-of (-7)/(x^2-8x)

x \to 8 - lim (\frac{- 7}{x ^{2} - 8 x})

\infty

Solution steps

x \to 8 - lim (\frac{- 7}{x ^{2} - 8 x})

For

x

approaching

8

from the left

, x < 8 \Rightarrow x^{2} - 8 x < 0

The denominator is a negative quantity approaching 0 from the left

= \infty

x \to 0 lim (1 + 2 x)

x \to 0 lim (3 x csc (x))

x \to 0 + lim (x^{3} sin (\frac{1}{x}))

x \to 2 lim (\frac{x}{4 - x ^{2}})

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

What is the limit as x approaches 8-of (-7)/(x^2-8x) ?
The limit as x approaches 8-of (-7)/(x^2-8x) is infinity