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

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

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

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

- \infty

Solution steps

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

\frac{d}{d y} (\frac{y ^{3}}{39} + \frac{13}{4 y})

5 x^{4}

\frac{d}{d x} (x^{3} + 3 x y^{2} - 15 x - 12 y)

\frac{d}{d x} (ln (9 x^{2} - 7 x + 1))

\frac{d y}{d t} = 5 - y

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