lim(x—+∞)ln(xsin(1/x))=答案是-1/6,

题目详情

lim(x—+∞)ln(xsin(1/x))= 答案是-1/6,

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答案和解析

lim(x—+∞)ln(xsin(1/x))
=ln(lim(x—+∞)xsin(1/x))
=ln(lim(x—+∞)sin(1/x)/(1/x))
=ln1
=0

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