What is the limit as x approaches 4-of 2/(x-4) ?

The limit as x approaches 4-of 2/(x-4) is -infinity

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limit as x approaches 4-of 2/(x-4)

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

- \infty

Solution steps

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

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

\int_{- 1}^{1} x^{- 2} d x

\frac{d}{d x} (\frac{( 4 x )}{( x + 1 ) ^{2}})

x \to 1 lim (∣ 3 x - 6 ∣)

What is the limit as x approaches 4-of 2/(x-4) ?
The limit as x approaches 4-of 2/(x-4) is -infinity