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

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

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

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

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

Solution steps

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

Plug in the value

x = o

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

x \to 0 lim (- x)

x \to 0 - lim (\frac{2}{x} - \frac{1}{x ^{3}})

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

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

t \to 0 lim (\frac{2 sin ( t )}{t})

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