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

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

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

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

\infty

Solution steps

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

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

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

x \to 4 + lim (x + 4) = 8

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

= 8 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

y = (\frac{x}{7} + 6)^{\frac{3}{2}}

\int \frac{2 e ^{x}}{e ^{2 x} + 2 e ^{x} + 1} d x

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

x y^{^{'}} = y + x e^{\frac{y}{x}}

e^{3 x}, e^{x}, [0, 1]

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