What is the limit as x approaches 9-of (-3)/((x-9)^2) ?

The limit as x approaches 9-of (-3)/((x-9)^2) is -infinity

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limit as x approaches 9-of (-3)/((x-9)^2)

x \to 9 - lim (\frac{- 3}{( x - 9 ) ^{2}})

- \infty

Solution steps

x \to 9 - lim (\frac{- 3}{( 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

\int_{- 1}^{1} 1 - y^{2} - (y^{2} - 1) d y

(3, - 2), (4, - 7)

\frac{\partial}{\partial x} (- 3 x e^{- 2 x y})

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

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

What is the limit as x approaches 9-of (-3)/((x-9)^2) ?
The limit as x approaches 9-of (-3)/((x-9)^2) is -infinity