x趋向于无穷时 lim (3x-1)/(x^3 乘以 sin(1/x^2 ))
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x趋向于无穷时lim(3x-1)/(x^3乘以sin(1/x^2))x趋向于无穷时lim(3x-1)/(x^3乘以sin(1/x^2))x趋向于无穷时lim(3x-1)/(x^3乘以sin(1/x^2
x趋向于无穷时 lim (3x-1)/(x^3 乘以 sin(1/x^2 ))
x趋向于无穷时 lim (3x-1)/(x^3 乘以 sin(1/x^2 ))
x趋向于无穷时 lim (3x-1)/(x^3 乘以 sin(1/x^2 ))
令t=1\x
原式=limt→0 ( 3/t-1)/(1/t * sin t^2)
=limt→0 ( 3/t-1)/(1/t * t^2) -----这里用到无穷小量有关知识
=limt→0 （3-t）
=3
lim(x趋向于无穷)(1+3/x)^(x-3)
x趋向于无穷时 lim (3x-1)/(x^3 乘以 sin(1/x^2 ))
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