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

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

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limit as x approaches 0 of (e^x)/(1-e^x)

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

diverges

Solution steps

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

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

= diverges

\frac{\partial}{\partial x} (2 x^{2} - 4 x + 1)

\int (3 - 2 x)^{2} d x

f (x) = \frac{1}{4} x^{8}

\frac{d}{d x} (\frac{1 - sin ( x )}{1 - cos ( x )})

t^{3} cos (t)

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