What is the limit as x approaches 0 of x^2log_{e}(x) ?

The limit as x approaches 0 of x^2log_{e}(x) is Does not exist

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limit as x approaches 0 of x^2log_{e}(x)

x \to 0 lim (x^{2} lo g_{e} (x))

Does not exist

Solution steps

x \to 0 lim (x^{2} lo g_{e} (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^{2} lo g_{e} (x)) = 0

x \to 0 - lim (x^{2} lo g_{e} (x)) =

Does not exist

= Does not exist

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

x \to \infty lim (\frac{2 x}{7})

x \to - 8 lim (x)

x \to - 3 lim (\frac{2 x ^{2} + 5 x - 3}{x ^{2} - 9})

x \to \infty lim (\frac{x ^{2} + 1}{x + 2})

What is the limit as x approaches 0 of x^2log_{e}(x) ?
The limit as x approaches 0 of x^2log_{e}(x) is Does not exist