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

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

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

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

- \infty

Solution steps

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

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

x \to - 5 - lim (x^{2}) = 25

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

= 25 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

x \to 2 lim (\frac{x ^{4} - 9}{x + 2})

\frac{d}{d x} (- \frac{10 x}{( x ^{2} - 4 ) ^{2}})

f (x) = \frac{1}{x + 8}, at x = 9

n = 2 \sum \infty \frac{1}{n ^{3}}

\int \frac{x}{5 + 4 x - x ^{2}} d x

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