[微積] 大一微積分的題目

[rfdgrfdg (閒得發慌)]

剛升上大一的小弟對於英文題目的理解有困難..

看得懂題目卻不知道怎麼回答

例:

f(x)=x^2/x^2+1

a.Show that f is continuous for all values of x.

b.Show that f(x) is nonnegative for all values of x.

c.Show that f has a zero at x=0.Does this contradict Theorem 5?

可以請各位幫我個忙告訴我題目要我回答什麼嗎...



感激不盡

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◆ From: 140.121.215.27
→ madokamagika:1.證明函數各點連續(雖然我覺得他在0需要額外定義)
→ madokamagika:2.說明對於任意x, f(x)都是正值
→ madokamagika:3.說明 f(0)=0 請問這違反Therorem 5嗎 (這句我不是
→ madokamagika:很確定)
→ rfdgrfdg    :感謝!! 原來show是證明..我英文太差了 囧
→ madokamagika:訂正:2應該是說他不為負