What is the limit as x approaches 2-of 7/(x-2) ?

The limit as x approaches 2-of 7/(x-2) is -infinity

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limit as x approaches 2-of 7/(x-2)

x \to 2 - lim (\frac{7}{x - 2})

- \infty

Solution steps

x \to 2 - lim (\frac{7}{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 7/(x-2) ?
The limit as x approaches 2-of 7/(x-2) is -infinity