lim(x趋于无穷)xsin(3x/1+x^2)=
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lim(x趋于无穷)xsin(3x/1+x^2)=lim(x趋于无穷)xsin(3x/1+x^2)=lim(x趋于无穷)xsin(3x/1+x^2)=令y=3x/(1+x²)x->∞,y->
lim(x趋于无穷)xsin(3x/1+x^2)=
lim(x趋于无穷)xsin(3x/1+x^2)=
lim(x趋于无穷)xsin(3x/1+x^2)=
令y=3x/(1+x²)
x->∞,y->0
所以园极限等于x* 3x/(1+x²)的极限 = 3/(1 + 1/x²) 的极限
= 3
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