lim(x-sinx)/(x+sinx),x趋近于0

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lim(x-sinx)/(x+sinx),x趋近于0

lim(x-sinx)/(x+sinx),x趋近于0
lim(x-sinx)/(x+sinx),x趋近于0

lim(x-sinx)/(x+sinx),x趋近于0
lim(x→0)(x-sinx)/(x+sinx)=lim(x→0)(1-cosx)/(1+cosx)=0

lim(x→0)(x-sinx)/(x+sinx)=lim(x→0)(1-cosx)/(1+cosx)=0

lim(x-sinx)/(x+sinx),x趋近于0
=lim(x-sinx)/(x+sinx)
=lim(x-sinx)/2x
=lim(1-cosx)/2
=lim(x²/2)/2
=0