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 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

f (x) = \frac{10}{( 1 - x ) ^{3}}

x \to 0 lim ((3 x - 2)^{4})

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

\frac{\partial}{\partial x} (cos (x) + cos (y) - y)

\frac{d}{d x} (tan (x) + sec (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