求lim x趋近于0 sinx^3 tanx/(1-cosx^2)
问题描述:
求lim x趋近于0 sinx^3 tanx/(1-cosx^2)
答
实在不行,用taylor公式吧.
sinx^3 tanx/(1-cosx^2)=Lim(sinx^3 sinx/cosx)/(x^4/2+o(x^4))=Limx^4/(x^4/2+o(x^4))=2