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

The limit as x approaches 0 of xln(e^x-1) is Does not exist

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

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

Does not exist

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (x ln (e^{x} - 1)) = 0

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

Does not exist

= Does not exist

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\frac{d}{d x} (- \frac{x}{5 y})

What is the limit as x approaches 0 of xln(e^x-1) ?
The limit as x approaches 0 of xln(e^x-1) is Does not exist