let f(x) R→R be continuous,suppose lim(x→∞）f(x)/x=0; prove 存在m∈r such that f(m)+m=0!求证明啊简便的证明啊!

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let f(x) R→R be continuous,suppose lim(x→∞）f(x)/x=0; prove 存在m∈r such that f(m)+m=0!求证明啊简便的证明啊!
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let f(x) R→R be continuous,suppose lim(x→∞）f(x)/x=0; prove 存在m∈r such that f(m)+m=0!求证明啊简便的证明啊!
let f(x) R→R be continuous,suppose lim(x→∞）f(x)/x=0; prove 存在m∈r such that f(m)+m=0!求证明啊简便的证明啊!

let f(x) R→R be continuous,suppose lim(x→∞）f(x)/x=0; prove 存在m∈r such that f(m)+m=0!求证明啊简便的证明啊!
证明：