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 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

x \to 0 + lim (x ln (\frac{x}{x + 1}))

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

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

x \to 0 + lim (- 1 + x ln (x))

h (x) \to 0 lim ((x + h (x))^{n})

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