作业帮limx趋于0 [ (1/x)-(1/sinx)]
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![limx趋于0 [ (1/x)-(1/sinx)]](/uploads/image/z/3936608-8-8.jpg?t=limx%E8%B6%8B%E4%BA%8E0+%5B+%281%2Fx%29-%281%2Fsinx%29%5D)
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limx趋于0 [ (1/x)-(1/sinx)]
limx趋于0 [ (1/x)-(1/sinx)]
limx趋于0 [ (1/x)-(1/sinx)]
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
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^