What is the limit as x approaches 5-of 7/(x-5) ?

The limit as x approaches 5-of 7/(x-5) is -infinity

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limit as x approaches 5-of 7/(x-5)

x \to 5 - lim (\frac{7}{x - 5})

- \infty

Solution steps

x \to 5 - lim (\frac{7}{x - 5})

For

x

approaching

5

from the left

, x < 5 \Rightarrow x - 5 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

What is the limit as x approaches 5-of 7/(x-5) ?
The limit as x approaches 5-of 7/(x-5) is -infinity