Question

那個心

答案是b e g i
想知道為什麼 如何判斷的

33. Let f be some function for which you know only that
asob (x)\mil ng
if
0</x-3|< 1,
then
|f(x) - 5 <0.1.
Which of the following statements are necessarily true?
(a) If x - 3|< 1, then f(x) - 5| < 0.1.
(b) If /x-2.51 < 0.3, then f(x) - 5| < 0.1.
(c) lim f(x) = 5.
x 3
-
(d) If 0 < x - 3|< 2, then f(x) = 5| < 0.1.
-
(e) If 0 < x - 3|< 0.5, then f(x) = 5| < 0.1.
(f) If 0 < x - 3|<, then [f(x) - 5|<(0.1).
(g) If 0 < x - 3|< 1, then f(x) - 5 < 0.2.
(h) If 0 < x - 3|< 1, then |f(x) - 4.95| < 0.05.
(i) If lim f(x) = L, then 4.9 L≤ 5.1.
x→3