Seguenee
A tuncion who Se clomain ii he Set of
hatural numbers le range a Subjcet
of 2el nunbes id called a
Seguuce
Sreal Sepuence.
It is denatd by unJ. where 1
is the th tenm of the SeqNce.
Fen exantples?
is an itinite
Segeeuce .
Segleucei
Couenget
A Sequence un? is caled conuepent
& finite
n
Fan examples Segluence un
dim
, Page No.
Rinegcant scgttnco
Scgutnce lsa3 s called cliepent.
Fa Cantple. Scqec4Ce
ascillatny SegLeeincei
Scgieence jun, neithen Conuepout
clinegcut.
be oscilatay
Said to
fas Cxatpole,
Segtecnce juj-2, L,-L, L, -- -5
finite & Seguence
Oscillatay Seqlence
Norbton Segleen ce h
If a Segluence jn' s Said to be
nonatonic increcsig, dt Cnt fenal
Said to be monatonic decreasing f
fa all n.
, Page No.......
Fan caample.
take Seence LÍ
n+1
nt
n+1
nt1
=(1-hr2)-(1
ht2 z0o fa all n
Unr> Kn then sezuence- fun s
monctonic
increni
Boundec, Seguen cel.
A Segleence- Su3 s Said to be bouncle d
abone, uff there caist a finite numben
M, Such thet unG Ma fas al n.b
ithe Seguence fun? s Said to be boude
below. if tnere cxist of finite numbes
M, Such that u, M fan al
a h.
Sequencen cis boneded. f t
id bath boun de d abneb bondo belas
Fos Geample i-1t us bouncle d absne l
ujopen. boundedbelaed 2
, Tfiile Senres i Page No.. .
An Ccpresston is of the fonm
+ u3
is called infinito Series.
In Symbals it is eitten es
n
n Sep wence of parti al Sums of an
nfinit Senies $S is defined
+ n
n
|Conhegence of an unfinite Series -
() An fnete eries•un s Said to be
Con
uegent. it Sh finete
) lun is s aid to be cinepent. tf
kei) Eun is oscilloto, f Sni otoes not hane
Sunmary: C nigue dinet
A tuncion who Se clomain ii he Set of
hatural numbers le range a Subjcet
of 2el nunbes id called a
Seguuce
Sreal Sepuence.
It is denatd by unJ. where 1
is the th tenm of the SeqNce.
Fen exantples?
is an itinite
Segeeuce .
Segleucei
Couenget
A Sequence un? is caled conuepent
& finite
n
Fan examples Segluence un
dim
, Page No.
Rinegcant scgttnco
Scgutnce lsa3 s called cliepent.
Fa Cantple. Scqec4Ce
ascillatny SegLeeincei
Scgieence jun, neithen Conuepout
clinegcut.
be oscilatay
Said to
fas Cxatpole,
Segtecnce juj-2, L,-L, L, -- -5
finite & Seguence
Oscillatay Seqlence
Norbton Segleen ce h
If a Segluence jn' s Said to be
nonatonic increcsig, dt Cnt fenal
Said to be monatonic decreasing f
fa all n.
, Page No.......
Fan caample.
take Seence LÍ
n+1
nt
n+1
nt1
=(1-hr2)-(1
ht2 z0o fa all n
Unr> Kn then sezuence- fun s
monctonic
increni
Boundec, Seguen cel.
A Segleence- Su3 s Said to be bouncle d
abone, uff there caist a finite numben
M, Such thet unG Ma fas al n.b
ithe Seguence fun? s Said to be boude
below. if tnere cxist of finite numbes
M, Such that u, M fan al
a h.
Sequencen cis boneded. f t
id bath boun de d abneb bondo belas
Fos Geample i-1t us bouncle d absne l
ujopen. boundedbelaed 2
, Tfiile Senres i Page No.. .
An Ccpresston is of the fonm
+ u3
is called infinito Series.
In Symbals it is eitten es
n
n Sep wence of parti al Sums of an
nfinit Senies $S is defined
+ n
n
|Conhegence of an unfinite Series -
() An fnete eries•un s Said to be
Con
uegent. it Sh finete
) lun is s aid to be cinepent. tf
kei) Eun is oscilloto, f Sni otoes not hane
Sunmary: C nigue dinet
