What is the limit as x approaches 5+of (x+13)/(x-5) ?

The limit as x approaches 5+of (x+13)/(x-5) is infinity

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limit as x approaches 5+of (x+13)/(x-5)

x \to 5 + lim (\frac{x + 13}{x - 5})

\infty

Solution steps

x \to 5 + lim (\frac{x + 13}{x - 5})

\frac{x + 13}{x - 5} = (x + 13) \frac{1}{x - 5}

= x \to 5 + lim ((x + 13) \frac{1}{x - 5})

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 5 + lim (x + 13) \cdot x \to 5 + lim (\frac{1}{x - 5})

x \to 5 + lim (x + 13) = 18

x \to 5 + lim (\frac{1}{x - 5}) = \infty

= 18 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

x \to \infty lim (F (x))

x \to 0 lim (3 x + 1 - 1)

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

x \to e lim (ln^{2} (2 x - e))

x \to \infty lim (I n x)

What is the limit as x approaches 5+of (x+13)/(x-5) ?
The limit as x approaches 5+of (x+13)/(x-5) is infinity