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

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

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

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

\infty

Solution steps

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

\frac{x ^{3}}{x ^{2} - 9} = x^{3} \frac{1}{x ^{2} - 9}

= x \to - 3 + lim (x^{3} \frac{1}{x ^{2} - 9})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to - 3 + lim (x^{3}) \cdot x \to - 3 + lim (\frac{1}{x ^{2} - 9})

x \to - 3 + lim (x^{3}) = - 27

x \to - 3 + lim (\frac{1}{x ^{2} - 9}) = - \infty

= (- 27) (- \infty)

Apply Infinity Property:

- c \cdot (- \infty) = \infty

= \infty

y = tan (e^{x})

\int_{3}^{4} x^{2} d x

\frac{d}{d x} (\frac{5 x + 1}{2 x})

e^{3 - t}

\frac{d}{d x} (\frac{- y ^{2}}{( x - y ) ^{2}})

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