推 eri820503 :感溫!!!!!!! 10/02 17:10
※ 引述《eri820503 (money)》之銘言：
: 第一題:
: prove that lim x^1/2*e^SIN(兀/X)=0
: x→0
0 < √x e^{sin(π/x)} < √x e
and by SQUEEZE Theorem, ...
: 第二題:
: Show by means of an example that
: lim [f(x)*g(x)] may exist even though neither
: x→a
: lim f(x) nor lim g(x) exists.
: x→a x→a
f(x)=0 when x>=a
=1 when x<a
g(x)=1 when x>=a
=0 when x<a
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◆ From: 112.104.169.18
※ 編輯: JohnMash 來自: 112.104.169.18 (10/02 17:09)