f ( x )x x 0
> 0, > 0,0 < x x 0 < , f ( x ) <
1 f ( x ) = 2 x 2 x 1 .
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,
,
> 0, =
1
0 < x x 0 < f ( x ) A < = f ( x ) A
x x 0 f ( x ) = A + .
f ( x ) = A + A
3
lim
1
= +
x2
x0
1
x2
x0
o
.
lim f ( x ) = + .
x x0
4
1
= .
y
x2
1
y =
1
x2
>M
M
Lecture 4
The Norman Conquest
Magna Carta
4.1 The Norman Conquest
The Origin of Normans
The Year 1066
Battle of Hastings
Harold , son of Godwin
Edward the Confessor
Duke of Normandy, William II
then, William I of England
Haute-Normandie
The English Chan
+
1
1 n N
x n x n n
)
x1 , x 2 , x 3 , L , x n , L cfw_ x n
)
x n
2
2 cfw_ x n
x N +1
x3
)
x1
3
)
x2
3 cfw_ x n n x n = f (n )
1
4 N
n > N x n A < n
xn A lim x
,
f ( x )g( x ).
(1) lim
x <>
f ( x)
= 1 , x <>,
g( x )
f ( x )g( x ).x <>
f ( x ) ~ g( x )
f (x) ~ g(x) (x <>
)
1
2017-9-8
( 3) lim
f ( x ) = O ( g ( x )
x x0
f ( x)
= A, f ( x ) = O ( g ( x )
g( x )
sin x ~ x
tan x ~ x
( x 0)
arcsinx ~ x
arctanx ~ x
1
x R x
2
1 a , b Q , a < b , c Qc a , b
a , b
c".
1
2
1 X ,Y
f X x f
Y y f X
Y f : X Y
y x y = f ( x ) x
y X f D f
Y f
R f = f ( X ) = cfw_ f ( x) x X
f : R R
x R, f ( x ) = 2 x 1
Df = R Rf = R
Chinese 120a
Fall 2014
1,
Isnt it true that isnt it?
A
B
2
in the beginningthen/afterwards
chngle,became
3V
/Way/Method/Manner of V.
4even(to the point of)
k,cry
5
Since/Given the face thatwhy.
6. sb. In sbs opinion
Chinese 120a
2014Fall
1. A B ()VP
A invites B to VP (together)
timeVP
A and B fix/agree on a time to VP(together)
2. S MW MW adj.()
one is more Adj than another(often used to indicate progressive change over time, e.g., year by
year/day by day, or t emph
1
Chinese120a
Fall 2014
?
1
just right; it just so happened that
1) 20
2)
2/VO
be unavoidablesaid of undesirable things
VO
1)
2)
3Integral Number+
around/approximately +number
1)
2)
4S
S has not expected or thought of
1)
2)
5
no wonder
1)
2)
Chinese120a
2014 Fall
1.+number
only
1) 1
2) 8
2.Adj.
awfully/terribly Adj
1) 12
2 bshdnBoston
3.VOV
VO for a long while( literally half day)
1)
2)
4.S S V
Since/now that Sthen V
1)
2)
5.Adj
1)
2)
extremely Adj
6./
simply
/ guw /(plural )
1)
Chinese 120 a
2014 Fall
1 It turns out to be that
1)
2)
2S
How does/is S possibly? (a rhetorical question)
1
2
3Sb Sb/VO
Sb. finds (sb/VO) to be particularly annoying
1
2
4 N , S N=/
1)
2)
In the aspect of N, S
5Sb()
Sb. thinks about sth. even when d
Xu 1
Harrison Xu
Dr. Cohen
English 2
Nov.10.2016
Wuthering Heights
If there have one type of love, that can cross the line of nether world and earth,
contains the memory of bitter and afflicting, but also sweet and pride experience,
touches and troubles e
In the stories A Very Old Man with Enormous Wings and The Handsomest
Drowned Man in the World, they both have a problem when an unknown subject
comes to peoples sight. In the first story, a couple finds a very old man with
enormous wings on the beach, and
Gatsby does turn out all right at the end, because he shows people that he is a
selfless and decent gentleman. Gatsby would open his house to anybody to his parties,
and he treats everybody with tremendous generosity. He treats d people with
glistening ho
Ancient Rome has total 21 triumphal archs. Now only three of
them are preserved, and Arch of Constantine is one of them; it is at
the west side of Rome amphitheatre. It longs 25.7 meters, wides 7.4
meters and tall 21 meters. It has three archs. The sculpt
Ancient Monetary Systems Presentation
Point Scale
Rubric Components
Knowledge/understanding
of topic and analysis
X2 points
_/10
Visual Aids
_/5
Delivery
_/5
5
4
Demonstrates
thorough and
insightful
understanding of
topic and analyzes
information with a
h
Wigs for kids
Years ago, a little girl ran into her uncles arm, crying. She tearfully begged him to
stop her hair from falling out. Uncle Jeff first thought it wasnt serious, then he knew
it was something more from her fathers eyes; it turned out that she
Catherine and Heathcliff have a deep friendship. For Catherine, Heathcliff is the
person who can endure and understand her capriciousness and mischief. Catherine, as
the book describes, is a mischievous and rowdy-dowdy girl; she put all of us past our
pat
Shibo Department had been existed since Tong and has been abandoned since Ming Dynasty. Its main job
was to control the overseas trading. Chinas overseas trading has a long history. In the period when
Emperor Han Wudi was in control, there has been some f
Harleton has some great similarities with Heathcliff; they both are raised under
poor education, and they both seeks for change. Heathcliff was a homeless and
adopted by Mr. Earnshaw. He knows none of his relatives, and he was brought up in a
completely s
Name: Shenhan Xu
Barriers to effective interpersonal communication:
1. Stressed out-of-control emotion: If you feel stressed or emotionally overwhelmed,
youre more likely to misread and send confusing or off-putting nonverbal signals
to other people. You
Please complete the following questions in
characters. You can either hand written or type out
your answers. Please turn in print out in class on W,
02/11/15 .
This assignment will be graded as CLC 3-1 Dictation.
1. (Each & every time when)
Q:
A. .
,
Chinese Language & Cultures 2-1 Vocabulary
X
Chinese Language & Cultures 2-1 Vocabulary
X
X
Chinese Language & Cultures 2-1 Vocabulary
X
Chinese Language & Cultures 2-1 Vocabulary
X
X
(bat)
Chinese Language & Cultures 2-1 Vocabulary
X
by the sea; b
.
.
. .
vs.
Chinese Language & Cultures 2-2: Be careful while writing characters
1. )
2.
)
3. )
4.
5.
6.
7.
Chinese Language & Cultures 2-2: Be careful while writing characters