What is the limit as x approaches 1 of ln(e^x-1) ?

The limit as x approaches 1 of ln(e^x-1) is ln(e-1)

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limit as x approaches 1 of ln(e^x-1)

x \to 1 lim (ln (e^{x} - 1))

ln (e - 1)

Decimal Notation

0.54132 \dots

Solution steps

x \to 1 lim (ln (e^{x} - 1))

Plug in the value

x = 1

= ln (e^{1} - 1)

Simplify

= ln (e - 1)

\frac{d}{d x} (\frac{( x + 2 )}{( x + 1 )})

\int (1 - e^{- x}) d x

\frac{d ^{2} y}{d x ^{2}} - 3 \frac{d y}{d x} + 2 y = 10 sin (x)

\int 2 sin (x) d x

x \to 1 lim (- 2 x^{2} + 5 x + 4)

What is the limit as x approaches 1 of ln(e^x-1) ?
The limit as x approaches 1 of ln(e^x-1) is ln(e-1)