limit is L. Take ε =
arrive at a
contradiction.]
23. If the function f is defined by
prove that limx→o f(x) does not exist.
24. By comparing Definitions 2, 3, and 4, prove T
lim f(x) = L____if and only if
lim_f(x) =
x→a
N
25. How close to -3 do we have to take x so that
1
10,000
(x + 3)4
27. Prove that lim
26. Prove, using Definition 6, that lim
F11
000
f(x) =
=
J 3
金
26
F12
28. Suppose that limx→a f(x) = ∞ and limx→a g(x)
c is a real number. Prove each statement.
届
(a) lim [f(x) + g(x)] = ∞
x-a
- 儿
鄉
in the definition of a l
5
x→−1− (x + 1)³
(1)
0 if x is rational
if x is irrational
Insert
+ 11
=
PrtSc
77%
33
x-a-
x→-3 (x + 3)4
-00元
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