What is the limit as x approaches 0 of x^2ln(x^2) ?

The limit as x approaches 0 of x^2ln(x^2) is diverges

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limit as x approaches 0 of x^2ln(x^2)

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

diverges

Solution steps

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

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} ln (x^{2})) = 0

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

Does not exist

= diverges

\int \frac{1}{( x ^{2} - 16 ) ^{\frac{3}{2}}} d x

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\int \frac{1}{4 + 4 x ^{2}} d x

\int \frac{1}{( x + 4 ) ^{2} ( x - 3 )} d x

What is the limit as x approaches 0 of x^2ln(x^2) ?
The limit as x approaches 0 of x^2ln(x^2) is diverges