What is the limit as x approaches-5-of (3x+8)/(x+5) ?

The limit as x approaches-5-of (3x+8)/(x+5) is infinity

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limit as x approaches-5-of (3x+8)/(x+5)

x \to - 5 - lim (\frac{3 x + 8}{x + 5})

\infty

Solution steps

x \to - 5 - lim (\frac{3 x + 8}{x + 5})

\frac{3 x + 8}{x + 5} = (3 x + 8) \frac{1}{x + 5}

= x \to - 5 - lim ((3 x + 8) \frac{1}{x + 5})

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 - 5 - lim (3 x + 8) \cdot x \to - 5 - lim (\frac{1}{x + 5})

x \to - 5 - lim (3 x + 8) = - 7

x \to - 5 - lim (\frac{1}{x + 5}) = - \infty

= (- 7) (- \infty)

Apply Infinity Property:

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

= \infty

\frac{d}{d x} (\frac{cos ( x )}{sin ( x )})

x \to \infty lim (x - x^{2})

x \to 3 lim (sin (x - 1))

\int x^{4} e^{x} d x

n = 0 \sum \infty (x + 4)^{n}

What is the limit as x approaches-5-of (3x+8)/(x+5) ?
The limit as x approaches-5-of (3x+8)/(x+5) is infinity