Uploaded by yliuib

Sequences and Limits Lecture Notes

advertisement
of
Examples
sequences
I
An
n
bn
ht n 11
Xu
ith
Yn
10
4,5
I
T
Iz
T
1
1
I
i
1
C 11
Cn
tiffs 2
2,3
Ht
1
O
f
l
f
HEY CHIP
3.141
3.14
3.1
e
3.1455
y
Ion
x
integer
t
part of
Tla
103 11
What do
we
want
IT
a
If
3.1415g
3747.599 k
to
a
we
lim
say
finite number 7
as
n
to
L
an
53.444
03
xEF
2
Intuitive y
or
study
hiya an
is
0
gets
L
3
4
n
cs
if
i
an
very large
when
n
is
1
L
where
L
an approaches
very large
the following
facts and use them
Assume
Week I
c
c
high
c
c
e
Constant
diff
o
II
dignan
them
n
GD
for any p
and
L
n
b
dings anbn
c
If furthermore
ntyy.ae
Tn
to to
bn
aliens
Ma
IR
nlings Can Ibn
n'is
I Fn uh
o
IR
Ca
then
c
c
hingesbn
Lingnan
lineman chinaz.ba
M
LM
0
linFI
7
LIM
bn
Tu
diz.net his.tn
Example
him
n
znIn
2h2
n
n
nel
20
non
I
21
l
L
n2 n
as
n
2
lim
F
lim
u2
to
z
th the
s
O
s
70
http
71
O
hsk
Ic Ext
2T
2
Example
Ft
dish
lim
n
lni5fntpTf
enki
a
lim
n
u
F
sp
na
n
n
n
t
fine.ge
n
Tnt
in
o
n
n
int
an
o't
TT
th
O
ca
d
O
c
Squeeze Theorem
aka
Sandwich
Rule
n
II
bn E Cn for any
Lingnan
Life
E
an
and
then
L
ftp.bn
Gin
Ininsassinnn
Isin
n
E
d
Knew
Iz
O
an
to
En
E Fen 52
il
En
In The
when
f
o
Tn
t
o
l Z
its inn 7
I
Y
0
discs
I
n 2 cs
I
th
0
c
lim
o
since
n
LER
f
Example
I
n
o
1
n'k
1h22 Tnt
0
f
o
In
f
x
TE
Yn3 n
me
digs
use
ns.sIn.uis
I
fIHiIIIIsIinEn
s.ieIy
re
him
is
h
n3 n2 D43 Cn3 n4DY3Cn3
fq
n
L
the
l
lim
he
1
is
4s
it
ht n3 n4
Y
htCh3t
y
n3 n4D
the
I
43 is
213
1
ly
Ins n n't D
tis
It
l
futz1h44
3
It
Is
t
l
s
s
1
gag
143 g 43
o
1
Download