What is the limit as x approaches 0 of ln(e^x) ?

The limit as x approaches 0 of ln(e^x) is 0

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limit as x approaches 0 of ln(e^x)

x \to 0 lim (ln (e^{x}))

0

Solution steps

x \to 0 lim (ln (e^{x}))

Plug in the value

x = 0

= ln (e^{0})

Simplify

ln (e^{0}) : 0

= 0

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What is the limit as x approaches 0 of ln(e^x) ?
The limit as x approaches 0 of ln(e^x) is 0