What is the limit as x approaches 9-of 2/(x-9) ?

The limit as x approaches 9-of 2/(x-9) is -infinity

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limit as x approaches 9-of 2/(x-9)

x \to 9 - lim (\frac{2}{x - 9})

- \infty

Solution steps

x \to 9 - lim (\frac{2}{x - 9})

For

x

approaching

9

from the left

, x < 9 \Rightarrow x - 9 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

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d er i v a t i v e y = e^{2} + 2 x

\frac{d}{d x} (\frac{e ^{a x} - e ^{- a x}}{e ^{a x} + e ^{- a x}})

\int_{6}^{8} \frac{100}{( x - 6 ) ^{3}} d x

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What is the limit as x approaches 9-of 2/(x-9) ?
The limit as x approaches 9-of 2/(x-9) is -infinity