lim x趋于无穷,xsin(2x/1+x^2)=

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lim x趋于无穷,xsin(2x/1+x^2)=
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lim x趋于无穷,xsin(2x/1+x^2)=
lim x趋于无穷,xsin(2x/1+x^2)=

lim x趋于无穷,xsin(2x/1+x^2)=
解:
lim(x→无穷)xsin(2x/(1+x^2))
=lim(x→无穷)xsin[(2/x)/(1/x^2 +1)]
=lim(1/x→0)x[(2/x)/(1/x^2 +1)]
=lim(1/x→0)[2/(1/x^2 +1)]
=2/1=2

啊啊啊 答案是2