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Limit of log(r^(-2))/log(1/r) as r → 0

\lim_{r \to 0} \frac{\log{\left(\frac{1}{r^{2}} \right)}}{\log{\left(\frac{1}{r} \right)}}

Step by step

  1. \lim_{r \to 0^+-} \frac{\log{\left(\frac{1}{r^{2}} \right)}}{\log{\left(\frac{1}{r} \right)}}

    Try direct substitution first.

  2. = 2

    Take the limit.

Reveal the answer
2