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

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

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

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

e - 1

Decimal Notation

1.71828 \dots

Solution steps

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

Plug in the value

x = 1

= \frac{e ^{1} - 1}{1}

Simplify

= e - 1

\frac{\partial}{\partial z} (x ln (y + z))

{\frac{1}{( s ^{2} + 1 ) ( s ^{2} + 4 )}}

x \to 0 lim (\frac{sin ( 4 x )}{2})

\int x^{2} - 10 d x

x \to 0 - lim (\frac{( 4 - x ) - 0}{4})

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