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Calculus · Limits

Limit of n^(log(3)/log(2))/n^2 as n → oo

\lim_{n \to \infty} \frac{n^{\frac{\log{\left(3 \right)}}{\log{\left(2 \right)}}}}{n^{2}}

Step by step

  1. \lim_{n \to \infty^+-} \frac{n^{\frac{\log{\left(3 \right)}}{\log{\left(2 \right)}}}}{n^{2}}

    Try direct substitution first.

  2. \

    As x grows without bound, compare the fastest-growing terms (or divide top and bottom by the highest power).

  3. = 0

    Take the limit.

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