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 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\frac{\partial}{\partial x} (x (20 - 2 x) (16 - 2 x))

\frac{\partial}{\partial x} (x^{9} y^{9} - x^{8} y^{8})

\int 2 x^{2} e^{x^{3}} d x

\int \frac{1}{sec ^{4} ( \frac{1}{4} x )} d x

e^{x} + 0 + 5

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