Question

訪客

求解59的詳細證明方法
謝謝

5$5. The function

!                                                  (b

, xIation3]

(人           WIN

7/G)    和   xITationa]                       60. Pr
1S called the 777cpe/,/rc/7oz. Prove that for no numberc              exI
does lm 7(y) exist.                                                             (

Prove the limit statement.                                                      司

56. 1           三了 i       i         一從|) 三                                 人
lm 7G) =了 痢 lm7c-00                              @ 1

27. lm /G) =了 論 lm7/c+人0

58. lim /G) =了 這 lmL/G)一句=0               2

$9. Suppose that 1 信人信導鹿導和                                          五

了

(a) Prove that 放工 > 0, then 7/(r) > 0 for aJY殼舉仙     62. Prove !
anterval ofthe form (c一十7                                    2and 有
HINT: Use an c,? argument, settinge 三也

圖 2.3 SOME LIMIT THEORENiS

As you probably gathered by Working througfh fhe Previous secfion, He
Tather tedious to apply the <, 8 definition of Jmmit time and time agamm- 是襄
general theorems, We can avoid some ofthis Tepetitive work. Of course,

themselves (at least the first ones) w征 have to be Proved bye,?
We begin by showing that ifa limit exists, ts unlque-

THEOREM 2.3.1 THE UNISUENESS GOFA LIMI

  

 

If lm /G)=Z and Jum7/G)三

2

 

pgoor We show 乙 二 籽 by proving that the 4