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数学
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lim(x趋近无穷)sinx/ln(1+1/x)
是不是把sinx改成sin1/x别的地方都不变答案就是一了?
人气:136 ℃ 时间:2020-06-17 16:09:05
解答
1.x→∞时,ln(1+1/x)是无穷小,等价于1/x,所替换一下,原式=lim(x→∞) xsinx,此极限不存在,也不是无穷大(比如x=nπ→∞,此时xsinx=0;若取x=kπ+π/2→∞,则xsinx→∞)2.若把sinx换作sin(1/x),则分子也是无穷...
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