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

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

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

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

diverges

Solution steps

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

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}{x} - \frac{1}{e ^{t} - 1}) = \infty

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

= diverges

x \to 4 lim (\frac{3 x + 4}{x - 2})

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

\frac{d}{d x} (\frac{a}{x ^{3}})

\int \frac{1}{cos ^{2} ( u )} d u

\frac{\partial}{\partial z} (y)

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