What is the limit as x approaches 0+of ln(1/(5x)) ?

The limit as x approaches 0+of ln(1/(5x)) is infinity

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limit as x approaches 0+of ln(1/(5x))

x \to 0 + lim (ln (\frac{1}{5 x}))

\infty

Solution steps

x \to 0 + lim (ln (\frac{1}{5 x}))

Apply the Limit Chain Rule:

\infty

= \infty

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\frac{d}{d x} (\frac{e ^{2 x} - 1}{e ^{2 x} + 1})

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What is the limit as x approaches 0+of ln(1/(5x)) ?
The limit as x approaches 0+of ln(1/(5x)) is infinity