What is the limit as x approaches-7-of x^2+4/(x+7) ?

The limit as x approaches-7-of x^2+4/(x+7) is -infinity

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limit as x approaches-7-of x^2+4/(x+7)

x \to - 7 - lim (x^{2} + \frac{4}{x + 7})

- \infty

Solution steps

x \to - 7 - lim (x^{2} + \frac{4}{x + 7})

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 - 7 - lim (x^{2}) + x \to - 7 - lim (\frac{4}{x + 7})

x \to - 7 - lim (x^{2}) = 49

x \to - 7 - lim (\frac{4}{x + 7}) = - \infty

= 49 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

What is the limit as x approaches-7-of x^2+4/(x+7) ?
The limit as x approaches-7-of x^2+4/(x+7) is -infinity