What is the limit as x approaches 0 of (ex-1)/x ?

The limit as x approaches 0 of (ex-1)/x is diverges

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limit as x approaches 0 of (ex-1)/x

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (\frac{e x - 1}{x}) = - \infty

x \to 0 - lim (\frac{e x - 1}{x}) = \infty

= diverges

f (x) = 4 (4 t - 1)^{2}

\int_{- \infty}^{0} x e^{- 7 x} d x

f (x) = 2 x ln (x)

- 2 x sin (x^{2})

x \to 15 + lim (15 x - 15)

What is the limit as x approaches 0 of (ex-1)/x ?
The limit as x approaches 0 of (ex-1)/x is diverges