What is the limit as x approaches 3 of (e^x-1)/x ?

The limit as x approaches 3 of (e^x-1)/x is (e^3-1)/3

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limit as x approaches 3 of (e^x-1)/x

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

\frac{e ^{3} - 1}{3}

Decimal Notation

6.36184 \dots

Solution steps

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

Plug in the value

x = 3

= \frac{e ^{3} - 1}{3}

x \to 0 lim (+ (x e^{\frac{1}{x}}))

x \to \infty lim ((x)^{0})

x \to 0 - lim (csch (x))

x \to 0 - lim (ln (1 + x))

x \to 5 lim (6 x - 14)

What is the limit as x approaches 3 of (e^x-1)/x ?
The limit as x approaches 3 of (e^x-1)/x is (e^3-1)/3