limx趋于0 [ (1/x)-(1/sinx)]

网友回答

limx趋于0 [ (1/x)-(1/sinx)]
=limx趋于0 [ (sinx-x)/xsinx)]
=lim(x->0) (sinx-x)/x²
=lim(x->0) (cosx-1)/2x
=lim(x->0) (-sinx)/2
=0======以下答案可供参考======
供参考答案1:
lim(x→0) 1/x(1/sinx-1/tanx) =lim(x→0) 1/x(tanx-sinx)/(sinxtanx) =lim(x→0) (tanx-sinx)/x^3 =lim(x→0) tanx(1-cosx)/x^