What is the limit as x approaches-4-of x^2+2/(x+4) ?

The limit as x approaches-4-of x^2+2/(x+4) is -infinity

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limit as x approaches-4-of x^2+2/(x+4)

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

- \infty

Solution steps

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

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

With the exception of indeterminate form

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

x \to - 4 - lim (x^{2}) = 16

x \to - 4 - lim (\frac{2}{x + 4}) = - \infty

= 16 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

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

θ \to - π + lim (csc (θ))

\int - \frac{1}{4} cos (4 x) d x

\int \frac{1 + x}{x x} d x

\frac{d y}{d x} + 2 y = 0

What is the limit as x approaches-4-of x^2+2/(x+4) ?
The limit as x approaches-4-of x^2+2/(x+4) is -infinity