What is the limit as x approaches-8-of (x+7)/(x+8) ?

The limit as x approaches-8-of (x+7)/(x+8) is infinity

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limit as x approaches-8-of (x+7)/(x+8)

x \to - 8 - lim (\frac{x + 7}{x + 8})

\infty

Solution steps

x \to - 8 - lim (\frac{x + 7}{x + 8})

\frac{x + 7}{x + 8} = (x + 7) \frac{1}{x + 8}

= x \to - 8 - lim ((x + 7) \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 + 7) \cdot x \to - 8 - lim (\frac{1}{x + 8})

x \to - 8 - lim (x + 7) = - 1

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

= (- 1) (- \infty)

Apply Infinity Property:

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

= \infty

cos (\frac{x}{2})

x \to 4 lim (\frac{x ^{2} - 8}{x ^{4}})

\int x ln (ln (x)) d x

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

arctan (- 2 x)

What is the limit as x approaches-8-of (x+7)/(x+8) ?
The limit as x approaches-8-of (x+7)/(x+8) is infinity