# How do you find the Limit of #ln(n)/ (ln(n))^2# as n approaches infinity?

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To find the limit of ln(n)/ (ln(n))^2 as n approaches infinity, we can use the properties of logarithms and limits.

First, we simplify the expression by dividing the numerator and denominator by ln(n):

ln(n)/ (ln(n))^2 = 1/ln(n)

Next, we take the limit as n approaches infinity:

lim(n→∞) 1/ln(n)

As n approaches infinity, ln(n) also approaches infinity. Therefore, the denominator ln(n) becomes infinitely large.

When the denominator becomes infinitely large, the value of 1/ln(n) approaches 0.

Therefore, the limit of ln(n)/ (ln(n))^2 as n approaches infinity is 0.

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