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

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

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

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

- \infty

Solution steps

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

Simplify

\frac{3 - x}{9 - x ^{2}} : \frac{1}{x + 3}

= x \to - 3 - lim (\frac{1}{x + 3})

For

x

approaching

- 3

from the left

, x < - 3 \Rightarrow x + 3 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

f (x) = 4 x^{\frac{3}{2}}

ln (1 - x), 0

\int x (3 x + 1)^{7} d x

(t + 5)^{3}

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