What is the limit as x approaches-4-of 1/(x+4) ?

The limit as x approaches-4-of 1/(x+4) is -infinity

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limit as x approaches-4-of 1/(x+4)

x \to - 4 - lim (\frac{1}{x + 4})

- \infty

Solution steps

x \to - 4 - lim (\frac{1}{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

What is the limit as x approaches-4-of 1/(x+4) ?
The limit as x approaches-4-of 1/(x+4) is -infinity