What is the limit as x approaches 0 of (e^x-2)/x ?

The limit as x approaches 0 of (e^x-2)/x is diverges

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limit as x approaches 0 of (e^x-2)/x

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

diverges

Solution steps

x \to 0 lim (\frac{e ^{x} - 2}{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} - 2}{x}) = - \infty

x \to 0 - lim (\frac{e ^{x} - 2}{x}) = \infty

= diverges

x \to - 8 lim (\frac{8 + x}{8 + x})

\int (x^{4} + x^{3})^{12} (4 x^{3} + 3 x^{2}) d x

cos (2 t)

s^{2} + 4 s + 13 s^{2} + 4 s + 13

n = 0 \sum \infty (n + 1) x^{n}

What is the limit as x approaches 0 of (e^x-2)/x ?
The limit as x approaches 0 of (e^x-2)/x is diverges