What is the limit as x approaches 9-of 1/((x-9)^2) ?

The limit as x approaches 9-of 1/((x-9)^2) is infinity

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limit as x approaches 9-of 1/((x-9)^2)

x \to 9 - lim (\frac{1}{( x - 9 ) ^{2}})

\infty

Solution steps

x \to 9 - lim (\frac{1}{( x - 9 ) ^{2}})

For

x

approaching

9

from the left

, x < 9 \Rightarrow (x - 9)^{2} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

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

\int \frac{1}{x 36 - x ^{2}} d x

x \to - π lim (cot (x))

\frac{1}{( s ^{2} ( s + 1 ) )}

\int \frac{x}{( x ^{2} + 5 ) ^{2}} d x

What is the limit as x approaches 9-of 1/((x-9)^2) ?
The limit as x approaches 9-of 1/((x-9)^2) is infinity