What is the limit as x approaches infinity of (x!)/3 ?

The limit as x approaches infinity of (x!)/3 is infinity

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limit as x approaches infinity of (x!)/3

x \to \infty lim (\frac{x !}{3})

\infty

Solution steps

x \to \infty lim (\frac{x !}{3})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= \frac{1}{3} \cdot x \to \infty lim (x!)

Apply the common limit:

x \to \infty lim (x!) = \infty

= \frac{1}{3} \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

x \to 0 lim (cos (\frac{2}{x}) x^{4})

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

x \to π lim (\frac{2 x}{3 x ^{2}})

x \to - 2 lim (x^{3} + 6 x)

x \to 0 lim (\frac{x ^{2}}{x ^{4} + 1})

What is the limit as x approaches infinity of (x!)/3 ?
The limit as x approaches infinity of (x!)/3 is infinity