What is the limit as x approaches 0 of (ex)/x ?

The limit as x approaches 0 of (ex)/x is e

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limit as x approaches 0 of (ex)/x

x \to 0 lim (\frac{e x}{x})

e

Decimal

2.71828 \dots

Solution steps

x \to 0 lim (\frac{e x}{x})

Cancel the common factor:

x

= x \to 0 lim (e)

x \to a lim c = c

= e

\int_{π}^{\frac{3 π}{2}} x sin (x) d x

\frac{d y}{d x} = 2 sin (x) (y - 1)

\int (\frac{ln ( x )}{x})^{3} d x

4 x^{2} + 25

\frac{d x}{d t} = - 0.1 (x - 100 + 40 e^{- 0.1 t})

What is the limit as x approaches 0 of (ex)/x ?
The limit as x approaches 0 of (ex)/x is e