x-simx/x^2,X趋向0的极限详细步骤
问题描述:
x-simx/x^2,X趋向0的极限详细步骤
答
方法一,洛必达=lim(1-cosx)/2x=limsinx/2=0
方法二,泰勒=lim(x-x+x^3/3!+o(x^4)/x^2=0
答
用洛毕塔有
lim (1-cosx)/(2x) = lim sinx/2 = 0/2=0