用洛必达法则求几道题的极限~
问题描述:
用洛必达法则求几道题的极限~
1.lim(x→3.14 /2)(Insinx)/(3.14-2x)^2
2.lim(x→3.14 /2)(tanx)/(tan3x)
3.lim(x→0)(1/x)-{1/(e^x-1)}
4.lim(x→0+)x^sinx
答
1,=lim(x→3.14 /2)cosx/[4sinx(2x-3.14)] =lim(x→3.14 /2)-sinx/[8sinx+4cosx(2x-3.14)] =-1/12 2,=lim(x→3.14 /2)(sinxcos3x)/[sin3x cosx] =lim(x→3.14 /2)(-cos3x/cosx) =lim(x→3.14 /2)(-3sin3x/sinx...