What is the limit as x approaches 4-of 8/(x-4) ?

The limit as x approaches 4-of 8/(x-4) is -infinity

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limit as x approaches 4-of 8/(x-4)

x \to 4 - lim (\frac{8}{x - 4})

- \infty

Solution steps

x \to 4 - lim (\frac{8}{x - 4})

For

x

approaching

4

from the left

, x < 4 \Rightarrow x - 4 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

x \to - \infty lim \frac{( 15 x ^{2} + 7 x ^{\frac{1}{3}} )}{( 9 x ^{4} + 7 )}

x \to - 1 - lim (2 x + 1)

x \to \infty lim ((1 + \frac{2}{x})^{\frac{x}{8}})

x \to - \infty lim (x - x^{3})

x \to 5 lim (\frac{x ^{2} - 3 x - 10}{x ^{2} - 4 x - 5})

What is the limit as x approaches 4-of 8/(x-4) ?
The limit as x approaches 4-of 8/(x-4) is -infinity