What is the limit as n approaches infinity of (ln(n))/(ln(2n)) ?

The limit as n approaches infinity of (ln(n))/(ln(2n)) is 1

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limit as n approaches infinity of (ln(n))/(ln(2n))

n \to \infty lim (\frac{ln ( n )}{ln ( 2 n )})

1

Solution steps

n \to \infty lim (\frac{ln ( n )}{ln ( 2 n )})

Apply L'Hopital's Rule

: n \to \infty lim (\frac{\frac{1}{n}}{\frac{1}{n}})

= n \to \infty lim (\frac{\frac{1}{n}}{\frac{1}{n}})

Simplify

= n \to \infty lim (1)

x \to a lim c = c

= 1

\int \frac{1}{( x - 3 ) ( x + 4 )} d x

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f (x) = \frac{1}{x - 3}

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\int (2 + 2 cos (x))^{2} d x

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