What is the limit as x approaches-8-of (x+3)/(x+8) ?

The limit as x approaches-8-of (x+3)/(x+8) is infinity

limit as x approaches-8-of (x+3)/(x+8)

x \to - 8 - lim (\frac{x + 3}{x + 8})

\infty

Solution steps

x \to - 8 - lim (\frac{x + 3}{x + 8})

\frac{x + 3}{x + 8} = (x + 3) \frac{1}{x + 8}

= x \to - 8 - lim ((x + 3) \frac{1}{x + 8})

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 - 8 - lim (x + 3) \cdot x \to - 8 - lim (\frac{1}{x + 8})

x \to - 8 - lim (x + 3) = - 5

x \to - 8 - lim (\frac{1}{x + 8}) = - \infty

= (- 5) (- \infty)

Apply Infinity Property:

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

= \infty

\int \frac{9}{x ( x ^{4} + 1 )} d x

\int 2 x^{25} d x

n \to \infty lim (n n^{3})

f (x) = x^{4} - 2 x^{3} - 12 x^{2} + 4 x - 3

\int \frac{1}{2} e^{x} d x

What is the limit as x approaches-8-of (x+3)/(x+8) ?
The limit as x approaches-8-of (x+3)/(x+8) is infinity