What is the limit as x approaches 8+of 4/(x-8) ?

The limit as x approaches 8+of 4/(x-8) is infinity

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limit as x approaches 8+of 4/(x-8)

x \to 8 + lim (\frac{4}{x - 8})

\infty

Solution steps

x \to 8 + lim (\frac{4}{x - 8})

For

x

approaching

8

from the right

, x > 8 \Rightarrow x - 8 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

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\int \frac{1}{( 25 + x ^{2} ) ^{\frac{3}{2}}} d x

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What is the limit as x approaches 8+of 4/(x-8) ?
The limit as x approaches 8+of 4/(x-8) is infinity