[微積] 證明題
題目如下：
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.
像這樣的證明題...我該如何開頭如何結尾呢?
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