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Let f(x),xgeq0, be a non-negative con...

Let `f(x),xgeq0,` be a non-negative continuous function, and let `f(x)=int_0^xf(t)dt ,xgeq0,` if for some `c >0,f(x)lt=cF(x)` for all `xgeq0,` then show that `f(x)=0` for all `xgeq0.`

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