MTH 162 Lecture Notes - Lecture 6: Thx, Ibm System P, Divergent Series
30 Jun 2018
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81Sequences
or what is the limit
Examples line an burn to
101,334,5 an nnus n
do al Az increasing
21,12 14 too if ade
Feasing
38at 43
An 43
41,2 6,53 82 45
divergent
non monotonic
5an In nIn 2h th mlnµf In
ht is
If 1
11,1 0then line 0
Example bn C43
1L'T Ibndi 11M Es
nth
26if lim tail Ldoes it imply that Linzan INO
n20
If nodd
3bn tt1the terms bn approach43
divergent For if neven bnapproaches 43
4Cn CDCIff Knl this 3
win a
ni 00
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5n'Ii Ing k1o
8.2 Series
Examples
1It ltitlInfant Le
nno
Eif It'ze
3IIol lIllllt
8iif
Itennis Itf Ez 1ten Lyng 1212 5
aelna
II HE elnlltEdn
IIgCtfQLmn
1nftEflyEnXln4ExIefirfpqEItttttIxy4ExIyhm.net D
Eau is
82Series convergent ifµg Sn existsCasa
an AtAz ta tIan is
dwergent if thesequence
is not convergent
Unix 5h PNE
sta si 52 53
Sze Altar
53 art art as sequence sequenceofpartialsums
i
Document Summary
8 what is the limit line an us n burn to n an n increasing defeasing a at 43. 4 1,2 6,53 82 45 divergent non monotonic. 2 6 if l im tail l does it imply that linzan i n20. If n odd the terms bn approach43 if n even bn approaches 43. Ian is dwergent if the sequenceis not convergent. 53 art art as i si 52 53 sequence sequenceofpartial sums. If ling an to or dne thenneian is divergent a. 2 bn line hex e thx t. x red x 1 f. nl. 11 if he fllx co bn is decreasing when n23 fu is decreasing on e co bn is decreasingwhen n 23 by 2 by2bad. Eqn isconvergent if the limit of sin exists as a number. Egan is divergent if the limit divergent to series. A time series is oneoftheform r ratio is a n io. I r t r 31 r t a.
