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数学
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求极限lim(x->负无穷大) (1/x+e^x)
人气:283 ℃ 时间:2019-08-20 18:47:24
解答
∵x是无穷大量 ∴1/x是无穷小量 lim(x->负无穷大)1/x=0
e^x=1/e^(-x) ∵x->负无穷大 ∴-x->正无穷大
e^(-x)->正无穷大 e^x=1/e^(-x)是无穷小量 lim(x->负无穷大)e^x=0
∴lim(x->负无穷大) (1/x+e^x)= lim(x->负无穷大)1/x+lim(x->负无穷大)e^x=0
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