lim(x趋向于0)(x*cotx-1)/(x^2)
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lim(x趋向于0)(x*cotx-1)/(x^2)
lim(x-->0)(x*cosx/sinx-1)/x^2
=lim(x-->0)(xcosx-sinx)/(x^2sinx)
=lim(x-->0)(cosx-xsinx-cosx)/(2xsinx+x^2cosx)
=lim(x-->0)(-sinx)/(2sinx+xcosx) (罗比达)
=lim(x-->0)(-cosx)/(2cosx+cosx-xsinx) (罗比达)
=lim(x-->0)(-cosx)/(3cosx-xsinx)
=(-1)/(3-0)
=-1/3
=lim(x-->0)(xcosx-sinx)/(x^2sinx)
=lim(x-->0)(cosx-xsinx-cosx)/(2xsinx+x^2cosx)
=lim(x-->0)(-sinx)/(2sinx+xcosx) (罗比达)
=lim(x-->0)(-cosx)/(2cosx+cosx-xsinx) (罗比达)
=lim(x-->0)(-cosx)/(3cosx-xsinx)
=(-1)/(3-0)
=-1/3
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