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

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)

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)