求极限 lim x趋于0 tan2x+sinx/x

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求极限limx趋于0tan2x+sinx/x求极限limx趋于0tan2x+sinx/x求极限limx趋于0tan2x+sinx/xlim(x->0)(tanx+tanx)/(1-tan^2x)=li

求极限 lim x趋于0 tan2x+sinx/x
求极限 lim x趋于0 tan2x+sinx/x

求极限 lim x趋于0 tan2x+sinx/x
lim(x->0)(tanx+tanx)/(1-tan^2x)=lim(x->)0(2x)/(1-x^2)=0,
lim(x->0)sinx/x=1,
0+1=1

lim(x→0)[tan2x+sinx/x]
=lim(x→0)tan2x+lim(x→0)[sinx/x]
=tan0+1
=0+1
=1