当x趋于0时(tanx-x)⼀(x*x*sinx)的极限是多少,

2025-03-13 13:58:59
推荐回答(1个)
回答1:

limx趋于0时(tanx-x)/(x*x*sinx)
=limx趋于0时(sinx-xcosx)/(x^3
=limx趋于0时(cosx-cosx+xsinx)/(3x^2)
=limx趋于0时(xsinx)/(3x^2)
=1/3