lim(3*x^2+5)/(5x+3)sin(2/x)=多少?lim(3*x^2+5)/(5x+3)*sin(2/x)=多少?

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lim(3*x^2+5)/(5x+3)sin(2/x)=多少?lim(3*x^2+5)/(5x+3)*sin(2/x)=多少?

lim(3*x^2+5)/(5x+3)sin(2/x)=多少?lim(3*x^2+5)/(5x+3)*sin(2/x)=多少?
lim(3*x^2+5)/(5x+3)sin(2/x)=多少?
lim(3*x^2+5)/(5x+3)*sin(2/x)=多少?

lim(3*x^2+5)/(5x+3)sin(2/x)=多少?lim(3*x^2+5)/(5x+3)*sin(2/x)=多少?
第一个疑问:sin(2/x)在分子上还是分母上?好像在分母上
第二个疑问:自变量x趋向于多少?看来应该是趋向于无穷
如果x趋向于无穷,则sin(2/x)可以直接等价无穷小替换为2/x
这样,原式变为(6x^2+10)/(5x^2+3x)取极限 分子分母同时除以x^2
结果为1.2

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