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

The limit as x approaches infinity of ln(x!) is infinity

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limit as x approaches infinity of ln(x!)

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

\infty

Solution steps

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

Apply the Limit Chain Rule:

\infty

= \infty

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