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

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

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

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

- \infty

Solution steps

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

For

x

approaching

0

from the left

, x < 0 \Rightarrow e^{x} - 1 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

\int 0.815 x e^{- 0.3 x} d x

\frac{d}{d x} (x^{2} (x^{2} + 5)^{2})

\frac{d}{d t} (e^{- s t})

\frac{d}{d x} (x cos (5 x))

x \to 1 lim (9 - 4 x^{2})

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