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

The limit as x approaches 3 of (ln(x))/(x^2) is 1/9 ln(3)

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

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

\frac{1}{9} ln (3)

Decimal Notation

0.12206 \dots

Solution steps

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

Plug in the value

x = 3

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

Simplify

\frac{ln ( 3 )}{3 ^{2}} : \frac{1}{9} ln (3)

= \frac{1}{9} ln (3)

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x \to 0 lim (sin (x) - 1)

x \to 0 lim (x e^{\frac{1}{x}} + 1)

What is the limit as x approaches 3 of (ln(x))/(x^2) ?
The limit as x approaches 3 of (ln(x))/(x^2) is 1/9 ln(3)