- #1
anemone
Gold Member
MHB
POTW Director
- 3,883
- 115
Let $y=\dfrac{1}{10^2}+\dfrac{1}{11^2}+\cdots+\dfrac{1}{19^2}$ and $x=\dfrac{1}{21^2}+\dfrac{1}{22^2}+\cdots+\dfrac{1}{40^2}$.
Prove that $\dfrac{1}{3}\lt \dfrac{x}{y}\lt \dfrac{1}{2}$.
Prove that $\dfrac{1}{3}\lt \dfrac{x}{y}\lt \dfrac{1}{2}$.