What is the limit as x approaches 9-of ln(x^2(10-x)) ?

The limit as x approaches 9-of ln(x^2(10-x)) is 4ln(3)

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limit as x approaches 9-of ln(x^2(10-x))

x \to 9 - lim (ln (x^{2} (10 - x)))

4 ln (3)

Decimal

4.39444 \dots

Solution steps

x \to 9 - lim (ln (x^{2} (10 - x)))

Plug in the value

x = 9

= ln (9^{2} (10 - 9))

Simplify

ln (9^{2} (10 - 9)) : 4 ln (3)

= 4 ln (3)

x \to 3 lim ([x - 3])

n \to \infty lim (\frac{3 2 n ^{7} + 7 n ^{3} + 1}{3 n ^{2} - 1})

x \to 2 lim (\frac{∣ x - 1 ∣}{x - 1})

x \to 0 lim (x \cdot e^{- x})

x \to 0 lim (\frac{x}{( x + 3 ) ^{2} - 9})

What is the limit as x approaches 9-of ln(x^2(10-x)) ?
The limit as x approaches 9-of ln(x^2(10-x)) is 4ln(3)