由 HUcula6 於 星期一 九月 26, 2011 8:34 pm
，求出x為何值時使f不連續，是否可指定在這些不連續點x所對應之函數值，使在此點x連續，若可以指定，請寫出其對應之函數值。
Ans:
(1) x=1&x=0 ⇒ f is discontinuous;
(2) Let f(0)=6 ⇒ f is continuous at x=0;
(3) Let f(1)=0 ⇒ f is continuous at x=1.
2.
If twofunctions f and g are continuous at a real number c, then which function is also continuous at c:
(A)the sum f+g
(B)the difference f-g
(C)the product f∙g
(D)the quotient f/g,provided g(c)≠0
(E)all of them
Ans: (E)
3.
f在a點連續，則下列敘述何者正確?
(A)∀∊>0,∃℘>0，使得∣x-a∣<℘時恆有∣f(x)-f(a)∣<∊
(B)
(C)
(D)
(E)以上皆對
Ans:(A)(B)(C)
請求各位解釋過程或原理
謝謝!!!!!