推 Potervens:5.乘上 Integrating factor e^-x 試試看 02/23 21:09
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→ k6416337:交大那題你少了在(a,b)連續吧? 02/23 21:14
→ q0300768:題目就這樣 02/23 22:22
→ q0300768:感謝 02/23 22:40
交92(V)
(a) Let a and b be real numbers with a<b, suppose that the function
f:(a,b) → R is bounded and is monotonic increasing. Prove that
both lim f(x) and lim f(x) exist, and so f can be extended to a
x→a+ x→b-
continuous function on [a,b].
清94
1. Let f be a continuous real-valued function defined on [a,b], and
a n 1/n
let M=max∣f(x)∣.Show that lim (∫∣f(x)∣dx) = M
xε[a,b] n→∞ b
清93
5. Let f be real-valued, differentiable function on R such that
f'(x)>f(x) for all xεR. Assume that f(0)=0, show that f(x)>0
for all x>0.
想很久都沒啥頭緒,麻煩板上高手了
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