Upload
others
View
1
Download
0
Embed Size (px)
Citation preview
an Guv
u div
w p series Strategies For Series Testing
upP 1
div petu
Geometricseriesu
a an but bn DivergenceTest conditionsan i rat Telescoping moan oSr bra b Lim auto divdiv rbi 3 n Noneu ato au Limbra b
ne k so
Are all ano
consider anµanboth
positive
andnegativentoproveabs.c.nuCan an be modelled u
by a function tax 0 AlternatingDoes anharetactm.uswe can integrate a seriesIs it
ottomansiasL r Is vIntegralTest E SS Ratio RootTest AlternatingseriesTest
an eruv him II It an decreasingyw Is ithardto boundu yes abs.c.nu Lim an owordedJanda or n sC z is airi cow Mmmiatey s L Inconclusive an cmua n
conditionseventually are conditionseventually conditionseventuallyten _an sofdecreasing ComparisonTest LimitComparisonTest an icuNone7 positive Lim an L obnc.nu anew u bu cu o
u n Ldiv audio anew bumn n i n n
conditionseventually conditionseventuallyoeau c bn
au bn oo ecu e au
Examplesso an am
upseries
ht IT Cour div i.inae.memsen.esn I aemy ann n auo oiueoenuten c.naao am is i air men.no iiiI mano
T Cour and CMV a man E iu Iibamamawecan.name am Haiaamman
u a vn aerate s sureir www.n.noIi Ic aoi aam S nuammi.es annum numeans cawww.nasic.na.a.usweunasimean cmanure iii cmarinate me iie an aaan iiiaiEi uZz tzu sure quay c.ua myo.ae a
n
an auZ Yu I In up.su strategiesinseriesten
iin.siae.m.n.sen.esu uaein ann n o oiuaonuen c.naiaiy.u s i air men.a.io i.aemn
amanoTu Ith Tu ntl Tu nti tu n Eaa y E i vei iin mania.me Hain
arate s sureir www.n.noiiis qq.io aam i ammama t.mnmean cawww.nusic.na.mswmnasiS a Tu z lull is a.ieEiI Ei iien mneai iineiEi incawww.nasic.na.mswmnasi
Sz a ta Yu y y Tu ia
S3 azt azta luck l tuff Lutz lull
u
Sk luck I Tu I
Yu I In Lim luck i Tu lk su L
3 n au
h2 1 l up.su strategiesinseriestenCour div 2 iiisi
uae.m.n.sen.esaein an m oiuao.ua cnai
h U t l am n air men.ca.io i.aemnamanocnn.em.am E
gammaqufz
weaminera Hain
aman s sureU't l I to iiis gyro am iim Lim an my mmi.es annum nuU c.uawww.ic.na.mswm.wscmanure cinnamon me iie a au s n 11 a Eia icawww.nusic.na.mswmnasio.aeo a
h2 1 I divh I U t l aawn au
up.sm.es strategiesinseriesteniin.sito4 uae.m.n.sen.esCss UT uv Id u ai ten.no i iauo EEiotiiaiuYaa.io i.aemn
amanoU comaman E
gamman p mania.me amain
aman s sureiiisina.ua Igor am iii cammi.es mnmean cawww.nusic.na.mswmnusicmanure cinnamon me icos Cu I f il Alternating E i i
series iguanas c.na.mswm.us
o a
ht decreasing Css utand convergent
uu pim I o
u a h
iin nso up.sm.es strategiesinseriestenI
s Guv div 2 i iisiuae.m.msen.esn Lulu ten.no as iim.ano EEiiiiiiuYiiiu z mana
comaman Egammaweaniaerae Hai
1 em s1 x a aaaaa iiix th x c.uamy
ammi.es annum nuiin c.mranne im iaien.c.naamnasi a i iie a a
a a iEi an2 D and increasing nasi anamnsweanasi
x Tn x I 0 su a.m
0 and decreasing on CZ 7x Tulsa
can apply integral testt
Cto 1 fu lutei da Liar
J da Iif J xenon c zxlucal Z
z
Lim lullultl culture lcil so I div i c
n Lu n up.su strategiesinseriestestingu z i iisi
uae.m.n.sen.esv t.e.mg ann n amount c.ua
G ofn s i air weare oS n
nu div gaa E i veiiiiweaminera Hui
u turn s sureir www.n.no
u inc immancawww.nus c.uams cnn.mswmnu.iec.mannen cim.ac.maien i
cawww.nusianamasweanasaIescort co E nu 3
cos ns Cu GuvI usC T h's h
u 1
so
7 Siu ut a ur Idiv 2
u I