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

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

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

x \to 3 lim (\frac{1}{ln ^{2} ( \frac{x}{3} )})

\infty

Solution steps

x \to 3 lim (\frac{1}{ln ^{2} ( \frac{x}{3} )})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 3 - lim (\frac{1}{ln ^{2} ( \frac{x}{3} )}) = \infty

x \to 3 + lim (\frac{1}{ln ^{2} ( \frac{x}{3} )}) = \infty

= \infty

(x^{2} - 2)^{2}

\frac{\partial}{\partial z} (x y + yz)

\int e^{3 x} (e^{3 x - 8})^{5} d x

y^{^{'}} = 3 x + y

\frac{d ^{3}}{d x ^{3}} (ln (x + 1))

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