Ratio and Root Test

11.6Ratio androottest

n non 1 n z 3 asci


iiII
divergent conditionallyconvergent orabsolutely convergent




any iii in
anti chin
th intine
it p it i i t
indeterminate
text it pima i ie

hintin i fit en i
k x o king in
time
II time
it
am iiiin iii
It is In conv or air determine iftheconowing is absolutelyconvergent conditionallyconvergent
ordivergent E it in
an it i aim cnn.si
iii iii him sina.inin cnn.is


Iii
him cantasitiicans Ii
c onv by ratiotest
absolutely
it canadian.is ityn to settles
abilityciliigent
therefore convergent


n givewant L a t then I an is absolutely convergent
testthe convergenceof theseries 2n
3 initii i inane a in p
him
ourseriesisabsolutelyconvergent soisconvergent
by theroottest