What is the limit as x approaches 9-of 1/(x-9) ?

The limit as x approaches 9-of 1/(x-9) is -infinity

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limit as x approaches 9-of 1/(x-9)

x \to 9 - lim (\frac{1}{x - 9})

- \infty

Solution steps

x \to 9 - lim (\frac{1}{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

x \to 0 + lim (x [ln (x)]^{2})

\frac{d}{d x} (2^{5 x} 3^{4 x^{2}})

\frac{d y}{d x} = \frac{x - 4}{y + 5}

f (x) = \frac{2}{x}, (6, \frac{1}{3})

\int 15 ln (x + 5) d x

What is the limit as x approaches 9-of 1/(x-9) ?
The limit as x approaches 9-of 1/(x-9) is -infinity