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58问答库 > e^1⼀x 一1比上 e^1⼀x 十 1 在x=0时的左右极限为什么不一样

e^1⼀x 一1比上 e^1⼀x 十 1 在x=0时的左右极限为什么不一样

2025-04-07 14:14:18

推荐回答（1个）

回答（1）：

先把这个式子化简：y=1-2/(e^1/x+1)
当x从左侧趋于0时,1/x趋于负无穷大,e^1/x趋于0,所以y趋于-1
当x从右侧趋于0时,1/x趋于正无穷大,e^1/x趋于无穷大,2/(e^1/x+1)趋于0,所以y趋于1
因此左右极限是不同的

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