lim(x→∞)[sinx/x+xsin(1/2x)]答案是1/2.求过程
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lim(x→∞)[sinx/x+xsin(1/2x)]答案是1/2.求过程
lim(x→∞)[sinx/x+xsin(1/2x)]
答案是1/2.求过程
lim(x→∞)[sinx/x+xsin(1/2x)]答案是1/2.求过程
x趋向于无穷,sinx/x最大也就是1/x,即0
x趋向去无穷的时候,sin(1/2x)的极限,相当于1/2x趋向于0时sin(1/2x)的极限,即1/2x
(因为有公式,x趋向于0时,sinx趋向于x)
,于是xsin(1/2x)极限就是x乘以1/2x,也就是1/2了
理解了吧?
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