数学

数学复习

limn→+∞(1+1n)n=e lim n → + ∞ ( 1 + 1 n ) n = e

(ex)′=ex ( e x ) ′ = e x

limn→0sinxx=1 lim n → 0 s i n x x = 1

sin`x = cosx

arctan′x=11+x2 a r c t a n ′ x = 1 1 + x 2

洛必达法则：

泰勒展开: