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

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

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

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

\infty

Solution steps

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

\frac{x + 2}{x + 4} = (x + 2) \frac{1}{x + 4}

= x \to - 4 - lim ((x + 2) \frac{1}{x + 4})

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 - 4 - lim (x + 2) \cdot x \to - 4 - lim (\frac{1}{x + 4})

x \to - 4 - lim (x + 2) = - 2

x \to - 4 - lim (\frac{1}{x + 4}) = - \infty

= (- 2) (- \infty)

Apply Infinity Property:

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

= \infty

x \to 0 lim (\frac{x ^{\frac{1}{3}}}{x})

x \to - 6 lim (\frac{2}{4 x + 10})

x \to 0 lim (ln (x) ln (x + 1))

x \to - 2 lim (x^{3} - 4 x^{2} + 6 x)

x \to 5 lim (x^{2} - x + 12)

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