[分析] 請教兩題函數相關

看板Math作者wyob (Go Dolphins)時間15年前 (2011/02/14 11:11)推噓3(3推 0噓 4→)

留言7則, 5人參與討論串1/2 (看更多)

1.If g is countinuous and nonnegative on [0,1] with g(0)=0=g(1), show that there exists a,b in [0,1] such that g(a)=g(b) and b-a=1/2 2.Is there a continuous function from [0,1] onto (0,1)? 第一題的前半部還好，可是不知道怎麼找相減=1/2的例子第二題找了一些函數好像都沒辦法onto (0,1) 可是又不知道怎麼證想請教一下 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 220.136.27.182

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Sfly

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ilovecs34

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ilovecs34

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