What is the limit as x approaches-6-of ((x+3))/(x+6) ?

The limit as x approaches-6-of ((x+3))/(x+6) is infinity

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limit as x approaches-6-of ((x+3))/(x+6)

x \to - 6 - lim (\frac{( x + 3 )}{x + 6})

\infty

Solution steps

x \to - 6 - lim (\frac{x + 3}{x + 6})

\frac{x + 3}{x + 6} = (x + 3) \frac{1}{x + 6}

= x \to - 6 - lim ((x + 3) \frac{1}{x + 6})

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

With the exception of indeterminate form

= x \to - 6 - lim (x + 3) \cdot x \to - 6 - lim (\frac{1}{x + 6})

x \to - 6 - lim (x + 3) = - 3

x \to - 6 - lim (\frac{1}{x + 6}) = - \infty

= (- 3) (- \infty)

Apply Infinity Property:

- c \cdot (- \infty) = \infty

= \infty

\int \frac{1 - x}{x ^{2} - 4} d x

f (x) = x^{2} - \frac{4}{x} - 10, at x = 8

6 x^{2}

(2 x + 1)^{2} (0.1)

x^{2} - 2 x, - x^{2} + 2 x

What is the limit as x approaches-6-of ((x+3))/(x+6) ?
The limit as x approaches-6-of ((x+3))/(x+6) is infinity