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

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

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

x \to \infty lim (\frac{I n ( 3 x )}{x})

3 n I

Solution steps

x \to \infty lim (\frac{I n \cdot 3 x}{x})

Cancel the common factor:

x

= x \to \infty lim (3 n I)

x \to a lim c = c

= 3 n I

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

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

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

x \to 3 lim (\frac{4 - x ^{2}}{x + 3})

x \to 6 lim (\frac{x ^{2} - 4}{x - 6})

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