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

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

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

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

diverges

Solution steps

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

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

= diverges

n = 1 \sum \infty (cos (32))^{n}

\frac{\partial}{\partial x} (x^{3} - 9 x y + 7 y^{3})

\frac{d}{d x} (750 + 12 x - 0.8 x^{7})

cos (x^{4})

\frac{d}{d x} ((ln (2 x)) d x)

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