8.4 Alternating Series
Alternating Series- a series whose
0
n=l
2(-1)" KAT
Alternating series tost:
If saba (-1) = b₁- bq+b3"...
sutisties i) batt ≤ be for all-n
ii) I'm 6 =0
178 °
alternatively positive and negative.
[error
then the series is convergent and IR] =ls-sh zbral
Fr
n
converges.
∞ (-1)" 3n
n=1 4x-1
Ex. 2
I'm E92
i) but <bu because
lia 1
ii) = 0
n=
އބ
linb
ляхо оп
=
utl
lim 3n
3
лях
41
4
150 F-1 = ONE [Diveges |
-lternating Series Estimation Their
عبا
Absolute Convergence: A series Eain is uitsoluity convergent if
Eloral is also convergent
Conditionally convergents Convergent but not absolutely.
Alternating Series- a series whose
0
n=l
2(-1)" KAT
Alternating series tost:
If saba (-1) = b₁- bq+b3"...
sutisties i) batt ≤ be for all-n
ii) I'm 6 =0
178 °
alternatively positive and negative.
[error
then the series is convergent and IR] =ls-sh zbral
Fr
n
converges.
∞ (-1)" 3n
n=1 4x-1
Ex. 2
I'm E92
i) but <bu because
lia 1
ii) = 0
n=
އބ
linb
ляхо оп
=
utl
lim 3n
3
лях
41
4
150 F-1 = ONE [Diveges |
-lternating Series Estimation Their
عبا
Absolute Convergence: A series Eain is uitsoluity convergent if
Eloral is also convergent
Conditionally convergents Convergent but not absolutely.
