What is the limit as x approaches 1+of 7/(1-x) ?

The limit as x approaches 1+of 7/(1-x) is -infinity

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limit as x approaches 1+of 7/(1-x)

x \to 1 + lim (\frac{7}{1 - x})

- \infty

Solution steps

x \to 1 + lim (\frac{7}{1 - x})

For

x

approaching

1

from the right

, x > 1 \Rightarrow 1 - x < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

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What is the limit as x approaches 1+of 7/(1-x) ?
The limit as x approaches 1+of 7/(1-x) is -infinity