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

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

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

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

- \infty

Solution steps

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

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

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

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

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

= 35 (- \infty)

Apply Infinity Property:

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

= - \infty

\frac{d y}{d x}, 2 (x^{2} + y^{2}) 2 = 81 (x^{2} - y^{2})

\frac{d}{d x} (\frac{x ^{2}}{2} + x \cdot (ln (x) - 1))

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

y = \frac{8}{1 - t}, (- 1, 4)

\int \frac{1}{( x + 3 ) ^{2} ( x - 1 )} d x

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