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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

= 2 \cdot 0 \cdot ln (1 - 0^{2})

Simplify

2 \cdot 0 \cdot ln (1 - 0^{2}) : 0

= 0

\frac{d}{d x} (\frac{3 x + 6}{2 x + 3})

y^{^{''}} + 80 y^{^{'}} + 1200 y = 0

\frac{\partial}{\partial x} (4 cos (3 x))

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

\frac{2}{( 3 x ^{2} + 7 ) ^{2}}

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