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

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

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

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

\frac{ln ^{2} ( 3 )}{3}

Decimal

0.40231 \dots

Solution steps

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

Plug in the value

x = 3

= \frac{ln ^{2} ( 3 )}{3}

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

x \to 3 lim (\frac{x}{( x ^{3} - 1 )})

x \to 3 lim (\frac{x - 13 x}{x})

x \to 3 lim (5 x + v - 223 + 1)

x \to 3 lim ((1 + x)^{\frac{1}{x}})

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