What is the limit as x approaches 0-of xln(1/(x^2)) ?

The limit as x approaches 0-of xln(1/(x^2)) is 0*(-Does not exist)

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limit as x approaches 0-of xln(1/(x^2))

x \to 0 - lim (x ln (\frac{1}{x ^{2}}))

0 \cdot (- Does not exist)

Solution steps

x \to 0 - lim (x ln (\frac{1}{x ^{2}}))

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to 0 - lim (x) \cdot x \to 0 - lim (ln (\frac{1}{x ^{2}}))

x \to 0 - lim (x) = 0

x \to 0 - lim (ln (\frac{1}{x ^{2}})) = -

Does not exist

= 0 \cdot (- Does not exist)

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

x \to 0 lim (cos^{2} (x) + 1)

x \to \infty lim (16 x^{3})

x \to 0 lim (x^{4} sin (\frac{7}{x}))

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

What is the limit as x approaches 0-of xln(1/(x^2)) ?
The limit as x approaches 0-of xln(1/(x^2)) is 0*(-Does not exist)