→ firstshiva :在一點連續就通通連續了線性函數的性質 10/16 12:28
f:R→R
If there is at least one point x_0 in R where f is continuous on it,
and f(x+y)=f(x)+f(y) for all x and y in R, show that f(x)=ax for some a.
我已經會證明當x_0不是0的情況了
想請問有高手能提示一下是0時的情況嗎??
謝謝
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