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

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

\int_{0}^{1} 2 x e^{- x^{2}} d x

\frac{d}{d x} (4 x^{4} + 2 x^{3} - x + 1)

\int sin^{2} (n x) d x

d er i v a t i v e y = \frac{( x + b ) ( x - a )}{( x - b )}

\int t \cdot sec^{2} (2 t) d t

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