What is the limit as x approaches 2-of ln(x^2(3-x)) ?

The limit as x approaches 2-of ln(x^2(3-x)) is 2ln(2)

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limit as x approaches 2-of ln(x^2(3-x))

x \to 2 - lim (ln (x^{2} (3 - x)))

2 ln (2)

Decimal Notation

1.38629 \dots

Solution steps

x \to 2 - lim (ln (x^{2} (3 - x)))

Plug in the value

x = 2

= ln (2^{2} (3 - 2))

Simplify

ln (2^{2} (3 - 2)) : 2 ln (2)

= 2 ln (2)

x^{2}, 2 - x^{2}

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

\int_{0}^{1} x (1 - x)^{8} d x

f (x) = sin (x), 0, \frac{π}{2}

\frac{d}{d x} (x e^{5 y})

What is the limit as x approaches 2-of ln(x^2(3-x)) ?
The limit as x approaches 2-of ln(x^2(3-x)) is 2ln(2)