[微積] 兩題微積分
看板Math作者dreamingaway (Wherever I May Roam)時間13年前 (2010/12/30 18:57)推噓1(1推 0噓 1→)留言2則, 1人參與討論串1/10 (看更多)
1. Define a function f:R→R by f(x)=0 if x belongs to R\Q,
and f(x)=1/p if x=q/p where p,q belong to Z, p≧1 and gcd{p,q}=1.
Show that lim f(x)=0
x→1/2
2. Let f,g:[0,1]→R, be continuous functions. Define h(x)=max{f(x),g(x)}
for all x belong to [0,1]. Show that h(x) is also a continuous function.
請問這2題要怎麼做 謝謝
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