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

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

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

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

- \infty

Solution steps

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

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

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

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

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

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

= 9 (- \infty)

Apply Infinity Property:

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

= - \infty

\frac{\partial}{\partial t} (\frac{t}{2})

\frac{d}{d x} (2 x^{3} - 6)

\frac{d}{d x} (24 x + sin (x))

f (x) = arcsin (2 x)

\frac{d}{d x} (\frac{arccos ( x )}{x ^{2}})

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