作者monemo13 (李孟李孟)
看板Math
标题[微积] 证明题
时间Thu Jan 20 13:44:09 2011
题目如下：
Let f(x+y) = f(x)+f(y) for all x and y in R.
Prove that there is a number m such that f(t)= mt for all rational number t.
HINT: First decide what m has to be.
Then proceed in steps, starting with f(0)= 0 , f(p)= mp for p in N,
f(1/p)= m/p, and so on.
像这样的证明题...我该如何开头如何结尾呢?
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1F：推 suhorng :柯西法 01/20 17:52
3F：→ suhorng :噢 ... 题目没有要证到 R, 请忽略上面那句 Orz 01/20 17:55