What is the limit as x approaches-4-of x^2+5/(x+4) ?

The limit as x approaches-4-of x^2+5/(x+4) is -infinity

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limit as x approaches-4-of x^2+5/(x+4)

x \to - 4 - lim (x^{2} + \frac{5}{x + 4})

- \infty

Solution steps

x \to - 4 - lim (x^{2} + \frac{5}{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{5}{x + 4})

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

x \to - 4 - lim (\frac{5}{x + 4}) = - \infty

= 16 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

\int \frac{1}{1 - 0.5 x} d x

x \to 10 - lim (8 - x)

\frac{\partial}{\partial z} (x e^{z} + x y + z^{3} - 4)

\int e^{x} 1 - e^{2 x} d x

e^{1 - x}

What is the limit as x approaches-4-of x^2+5/(x+4) ?
The limit as x approaches-4-of x^2+5/(x+4) is -infinity