circle x2+y2 = r2 focus ( 2√√r2-x2p -x , p ) directrix y = -p T.theodor 2022.8.14

lim f(x) / g(x) f(x) = αxa+βxa-1+… +ω g(x) = α'xb+β'xb-1+… +ω' a>b lim f(x) / g(x) = ∞ (x→∞) a=b lim f(x) / g(x) = α / α' (x→∞) a

Inequality of arithmetic and geometric means x1 = x2 = · · · = xn. x+y/2 ≧ √ xy x+y+z/3 ≧ 3√ xyz n=2k xn+yn ≧ 2√xnyn ≧ n√xy n=2k-1 xn+yn+zn ≧ 3√xnynzn ≧ n√xyz x1 = x2 = · · · = xn. T.theodor 2022.8.14

lim 1/ ( x→∞ ) T.theodor 2022.8.14

lim n+1√x3+n+2√2x3/22n+1√x5+2n+2√2x5 = ( x→∞ ) T.theodor 2022.8.14