lim(x趋向于无穷)(sin(1/x))/(1/x)等于多少?
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![lim(x趋向于无穷)(sin(1/x))/(1/x)等于多少?](/uploads/image/z/6889413-21-3.jpg?t=lim%EF%BC%88x%E8%B6%8B%E5%90%91%E4%BA%8E%E6%97%A0%E7%A9%B7%EF%BC%89%28sin%281%EF%BC%8Fx%29%29%2F%281%2Fx%29%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91%3F)
lim(x趋向于无穷)(sin(1/x))/(1/x)等于多少?
lim(x趋向于无穷)(sin(1/x))/(1/x)等于多少?
lim(x趋向于无穷)(sin(1/x))/(1/x)等于多少?
x趋向于0的时候x与sinx 是等价无穷小,可以代换的,
这里x趋向于无穷大,那么1/x就趋向0 了,那样求极限就变成了lim(x/x)=1
答案就是1啊