in Math Mods' Office, 5 hours ago, by Asaf Karagila
Ugh. I hate arguing with people about tags. Specifically about logic and set theory tags.
Prove that $$\dfrac{\dfrac{1}{11}+\dfrac{1}{12}+\dots+\dfrac{1}{200}}{\dfrac{1}{10\cdot11}+\dfrac{1}{11\cdot12}+\dots+\dfrac{1}{19\cdot20}}>19$$ My attempt:The denominator is $\frac{1}{20}$ using telescopic series. $\frac{1}{10*11}+\frac{1}{11*12}+\dots+\frac{1}{19*20}=\frac{1}{10}-\frac{1}{11}...
A synonym binomial-theorem $\to$ binomial-coeffiecents has been suggested. I think that the two tags are different enough to stay separate. (So upvotes on this post means that you are against the synonym and downvotes mean that you are for the synonym.) The main reason I brought it up is that...