What is the limit as x approaches-6-of x^2+2/(x+6) ?

The limit as x approaches-6-of x^2+2/(x+6) is -infinity

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limit as x approaches-6-of x^2+2/(x+6)

x \to - 6 - lim (x^{2} + \frac{2}{x + 6})

- \infty

Solution steps

x \to - 6 - lim (x^{2} + \frac{2}{x + 6})

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 - 6 - lim (x^{2}) + x \to - 6 - lim (\frac{2}{x + 6})

x \to - 6 - lim (x^{2}) = 36

x \to - 6 - lim (\frac{2}{x + 6}) = - \infty

= 36 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

\frac{\partial}{\partial x} (1 + 2 x)

9 - x^{2}, x

f (t) = 1 + t^{2}

\int \frac{( 1 - x ) ^{3}}{( x ^{3} x )} d x

3 - 2 t + 4 cos (2 t)

What is the limit as x approaches-6-of x^2+2/(x+6) ?
The limit as x approaches-6-of x^2+2/(x+6) is -infinity