What is the limit as x approaches 0 of 2x-xln(x) ?

The limit as x approaches 0 of 2x-xln(x) is Does not exist

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limit as x approaches 0 of 2x-xln(x)

x \to 0 lim (2 x - x ln (x))

Does not exist

Solution steps

x \to 0 lim (2 x - x ln (x))

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

then the limit does not exist

x \to 0 + lim (2 x - x ln (x)) = 0

x \to 0 - lim (2 x - x ln (x)) =

Does not exist

= Does not exist

What is the limit as x approaches 0 of 2x-xln(x) ?
The limit as x approaches 0 of 2x-xln(x) is Does not exist