What is the limit as x approaches-8-of (3-4x)/(x+8) ?

The limit as x approaches-8-of (3-4x)/(x+8) is -infinity

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limit as x approaches-8-of (3-4x)/(x+8)

x \to - 8 - lim (\frac{3 - 4 x}{x + 8})

- \infty

Solution steps

x \to - 8 - lim (\frac{3 - 4 x}{x + 8})

\frac{3 - 4 x}{x + 8} = (3 - 4 x) \frac{1}{x + 8}

= x \to - 8 - lim ((3 - 4 x) \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 (3 - 4 x) \cdot x \to - 8 - lim (\frac{1}{x + 8})

x \to - 8 - lim (3 - 4 x) = 35

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

= 35 (- \infty)

Apply Infinity Property:

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

= - \infty

x \to - 2 lim (x^{3} - 3 x^{2} + 4 x - 1)

x \to 0 lim (\frac{3 ^{2 x} - 1}{x})

x \to - 1 lim (1 - 4 x)

x \to - \infty lim (2^{x} - 1)

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

What is the limit as x approaches-8-of (3-4x)/(x+8) ?
The limit as x approaches-8-of (3-4x)/(x+8) is -infinity