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ETS PTQ's user avatar
ETS PTQ's user avatar
ETS PTQ's user avatar
ETS PTQ
  • Member for 7 years, 6 months
  • Last seen more than 3 years ago
  • Washington, United States
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11
Olympiad Algebra Practice Question
11
Show that $\forall (a, b, c) \ \in \mathbf{R}: \frac{a^2}{b^2} + \frac{b^2}{c^2} + \frac{c^2}{a^2} \ge \frac{b}{a} + \frac{c}{b} + \frac{a}{c}$
6
Evaluate $\sum\limits_{k=1}^n (k^{3} +k^{2} +1) / (k^{2} +k)$
5
Functions satisfying: $f(f(x)^2+f(y))=xf(x)+y$
5
Does removing all numbers in the harmonic series with a units digit of 9 affect the series?