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

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

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

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

- \infty

Solution steps

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

For

x

approaching

- 2

from the left

, x < - 2 \Rightarrow x + 2 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

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