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 right

, x > 9 \Rightarrow x - 9 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

y = x^{4}, (- 1, 1)

x \to 2 - lim (x 4 - x^{2})

\frac{d}{d x} (8 x e^{6 x})

\frac{d}{d x} (\frac{3 x ^{2} - 9 x + 1}{7 x + 8})

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