Ii.it I I.IEI
for what valuesis E.hnconvergent
use them
i i iiimn iii ai it
his viiiit iii iii iii
IEiiii i
power and diverse or other
anan
www.rmamam.is mmmm
Chenin
ah this it theyYixian
fattest
bottle
theseriesdivergesexceptatitscenter
so itonlyconverges whenx o
radiusintervalof convergence
Theorem Fora givenpowerseries Ifoneas thereare 3possibilities
is seriesconvergesfor an x
2 convonlywhen a
3 thereis apos number suchthat theseriesc onverges it at r anddivergesif K a a
R is theradius of convergence
so converges for a r ax cate andtheendpoints canbeeitherconvergent ordivergent
Theintervalof convergence is theintervalthat consistsofallvaluesof x wheretheseriesconverges
Finatheradius andintervalof
convert Eian
I a
I I
iiiit
end
li i ii 2
mann one
example roc too
aigqtiiasonaymynii.ir
EEEn infinite ex x 4 3 t
narmapiggries
nixn r o 0 or o o or o so loc 2,4
E a3 r 2,47 or 2 x c 4
mini
Iii
iinint.int
time 1 21 act
him
hi in Ix
infiiaites endpoint ten hi
endpoint
I p.FI it a he sincethedenomlarger
q.EEhe is p p c so converges
a seriesw
no
for what valuesis E.hnconvergent
use them
i i iiimn iii ai it
his viiiit iii iii iii
IEiiii i
power and diverse or other
anan
www.rmamam.is mmmm
Chenin
ah this it theyYixian
fattest
bottle
theseriesdivergesexceptatitscenter
so itonlyconverges whenx o
radiusintervalof convergence
Theorem Fora givenpowerseries Ifoneas thereare 3possibilities
is seriesconvergesfor an x
2 convonlywhen a
3 thereis apos number suchthat theseriesc onverges it at r anddivergesif K a a
R is theradius of convergence
so converges for a r ax cate andtheendpoints canbeeitherconvergent ordivergent
Theintervalof convergence is theintervalthat consistsofallvaluesof x wheretheseriesconverges
Finatheradius andintervalof
convert Eian
I a
I I
iiiit
end
li i ii 2
mann one
example roc too
aigqtiiasonaymynii.ir
EEEn infinite ex x 4 3 t
narmapiggries
nixn r o 0 or o o or o so loc 2,4
E a3 r 2,47 or 2 x c 4
mini
Iii
iinint.int
time 1 21 act
him
hi in Ix
infiiaites endpoint ten hi
endpoint
I p.FI it a he sincethedenomlarger
q.EEhe is p p c so converges
a seriesw
no
