What is the limit as x approaches+3+of (x+9)/(x-3) ?

The limit as x approaches+3+of (x+9)/(x-3) is infinity

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limit as x approaches+3+of (x+9)/(x-3)

x \to + 3 + lim (\frac{x + 9}{x - 3})

\infty

Solution steps

x \to 3 + lim (\frac{x + 9}{x - 3})

\frac{x + 9}{x - 3} = (x + 9) \frac{1}{x - 3}

= x \to 3 + lim ((x + 9) \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 + 9) \cdot x \to 3 + lim (\frac{1}{x - 3})

x \to 3 + lim (x + 9) = 12

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

= 12 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\frac{d}{d x} (3 tan^{2} (x))

\frac{r}{r ^{2} + 9}

x \to 0 lim (\frac{8}{x ^{2} + x} - \frac{8}{x})

x \to 1 lim (\frac{1}{a x + 2})

What is the limit as x approaches+3+of (x+9)/(x-3) ?
The limit as x approaches+3+of (x+9)/(x-3) is infinity