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

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

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

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

- \infty

Solution steps

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

\frac{x ^{2}}{x + 2} = x^{2} \frac{1}{x + 2}

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

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

x \to - 2 - lim (x^{2}) = 4

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

= 4 (- \infty)

Apply Infinity Property:

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

= - \infty

n \to \infty lim (n^{2})

\frac{d}{d x} (e^{- x} \cdot ln (x))

y = 2 x^{3} - 3 x, (1, - 1)

4 x y (\frac{d y}{d x}) = 3

x \to 0 lim (b + 0^{c} \cdot ln (0))

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