求大神,高数第四题第五题

2025-05-14 19:23:36
推荐回答(2个)
回答1:

4、注意到1-cos3x=2(sin3x/2)^2,原式=lim2(sin3x/2)^2/xsinx=lim9/2*(sin3x/2)^2/(3x/2)^2 *x/sinx=9/2
5、(x-2)/(x+2)=1-4/(x+2)
原式=lim[1-4/(x+2)]^x/4=lim{[1-4/(x+2)]^-(x+2)/4}^-x/(x+2)
lim[1-4/(x+2)]^-(x+2)/4=e,lim-x/(x+2)=-1
所以最后结果为e^-1

回答2: