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

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

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

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

- \infty

Solution steps

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

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

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

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

x \to 3 + lim (x - 8) = - 5

x \to 3 + lim (\frac{1}{x - 3}) = \infty

= (- 5) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

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

y = \frac{x ^{2}}{4 + x}

n = 0 \sum \infty \frac{n}{2 n + 1}

f (x) = \frac{64 x}{x ^{2} + 64}

f (x) = 12 x^{2} - 36 x

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