xcotx,x趋向于零,tanx-sinx/x,xcotx,x趋向于零,tanx-sinx/x,x趋向于零,1-cos2x/xsinx,x趋向于零,求以上三式解题过程.

Question

xcotx,x趋向于零,tanx-sinx/x,
xcotx,x趋向于零,tanx-sinx/x,x 趋向于零,1-cos2x/xsinx,x趋向于零,求以上三式解题过程.

Answer 1

1.lim(x->0)xcotx=lim(x->0)x/tanx=lim(x->0)x/x=12.lim(x->0)(tanx-sinx)/x=lim(x->0)tanx(1-cosx)/x=lim(x->0)x(x²/2)/x=lim(x->0)x²/2=0(本题分母一般为x³)3.lim(x->0)(1-cos2x)/xsinx=lim(x->0)[...