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lim(sinx-xcosx)/sin³x
题目详情
lim(sinx-xcosx)/sin³x
▼优质解答
答案和解析
lim(sinx-xcosx)/sin³x
=lim(sinx-xcosx)/x³
=lim(x->0)(cosx-cosx+xsinx)/3x²
=lim(x->0)(xsinx)/3x²
=lim(x->0)(x²)/3x²
=1/3
=lim(sinx-xcosx)/x³
=lim(x->0)(cosx-cosx+xsinx)/3x²
=lim(x->0)(xsinx)/3x²
=lim(x->0)(x²)/3x²
=1/3
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