What is the limit as x approaches 6+of 7/(x-6) ?

The limit as x approaches 6+of 7/(x-6) is infinity

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limit as x approaches 6+of 7/(x-6)

x \to 6 + lim (\frac{7}{x - 6})

\infty

Solution steps

x \to 6 + lim (\frac{7}{x - 6})

For

x

approaching

6

from the right

, x > 6 \Rightarrow x - 6 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

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What is the limit as x approaches 6+of 7/(x-6) ?
The limit as x approaches 6+of 7/(x-6) is infinity