※ 引述《ggyy340 (阿甘)》之铭言： : Find the volume bounded by the sphere x^2+y^2+z^2=9 : and the paraboloid x^2+y^2=8z : 不会算.... : Show that lim (1+c/n^2)^n=1 : n→∞ c lim (1 + -----)^n n→∞ n^2 1 1 = lim (1 + (c)*(y^2))^(---) (令 y = --- , 当n→∞时 , y→0) y→0 y n 1 = lim e^(ln((1 + (c)*(y^2))^(---))) y→0 y 1 = e^(lim ln((1 + (c)*(y^2))^(---))) y→0 y ln(1 + (c)*(y^2)) = e^(lim -------------------) y→0 y ((2c)*(y))/(1 + (c)*(y^2)) = e^(lim ----------------------------) y→0 1 2c*y = e^(lim ---------------) = e^0 = 1 y→0 1 + (c)*(y^2) : 这种题目要怎麽证压 : 请高手解救 谢谢 --

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