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

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

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

x \to 0 lim (x ln (x - 1))

Does not exist

Solution steps

x \to 0 lim (x ln (x - 1))

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

then

x \to a lim f (x) = L

x \to 0 - lim (x ln (x - 1)) =

Does not exist

x \to 0 + lim (x ln (x - 1)) =

Does not exist

= Does not exist

x^{2} - 2 x + 1, - x + 3

sec^{2} (x) d y + csc (y) d x = 0

(x e^{2 x})^{^{'}}

\frac{3}{5} x^{\frac{5}{3}} - \frac{3}{4} x^{\frac{1}{3}} + 8

\frac{d y}{d x} y = e^{x}

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