What is the limit as x approaches+0 of x*ln(x) ?

The limit as x approaches+0 of x*ln(x) is Does not exist

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limit as x approaches+0 of x*ln(x)

x \to + 0 lim (x \cdot ln (x))

Does not exist

Solution steps

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

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

Does not exist

= Does not exist

x \to - 3 + lim (\frac{x ^{2} + 9}{x + 3})

x \to 2 lim (5 - 2 x)

x \to \infty lim (\frac{sin ( 5 x )}{5 x})

x \to 3 lim (\frac{2 x - 1}{x - 3})

x \to 0 lim (\frac{1}{4})

What is the limit as x approaches+0 of x*ln(x) ?
The limit as x approaches+0 of x*ln(x) is Does not exist