Nguoithay.vn
Nguoithay.vn
1
Bài tp nh thc Newton
1:  trong   
.
2: Tì
trong  

3:  
  .
4:  
;
5:  

 
  . Tìm .
6: 
trong  

7:  

8: 
 . Tìm

 .
9: 

10:  trong   

11:   

 

Nguoithay.vn
Nguoithay.vn
2
12:   
13: 
trong  
14:  
15:   là:
16: 
 trong khai

17: 
 trong khai

18:  
19: 
 
trình:  .
20: 
21: 

22: Cho


23: 
 ?
24: 



25: 

26: 

27: 

28: 
là 

Nguoithay.vn
Nguoithay.vn
3
29:  + + +
30: 
+ +
31: Tìm
sao cho:
32:  

33: 

34:  

35: 
36: 

37: Tìm
 n sao cho
38: 


39: CMR:

40:  :

41: 

.
42: 
.
a) Tính tích phân :


Nguoithay.vn
Nguoithay.vn
4
43: CMR
44: 
.
45: 

46. :

47: 
 :

48: 
 :

49: 

 :

50: Tìm
 n sao cho :

51: 
trình

52: 


53: 
:

54: 
:


55:  sau:

56: 


57: 
:

58: 
:

59: 

:

60: 
g trình sau:

61:
Gi¶i :

62:
Gi¶i 

63: 
 :


1:  (1)
Nguoithay.vn
Nguoithay.vn
5
Vì nên :
(2)
Tõ
suy ra: (3)


2: Ta có :


là    là .
3:


  .
4:

5: 
ta có và
 .

ta có :
6: Ta có .
  .
Ta có
 là
7:


 y 

8: 

Nguoithay.vn
Nguoithay.vn
6



  là
9: 
là: 
10 :


 là:
11:
 
   là
12:


tr






13:
 là   là
14:  
.

là
16: 
Nguoithay.vn
Nguoithay.vn
7
 ta có : 3k +l = 5



. 

20: 



21: 

Ta có => 
24: 
và

nên n=20
25: Ta có


. Do  .

26:

Ta có 40- là
28: Ta có:


Cho
, ta có:

.
31:




32: . Vãi .
Nguoithay.vn
Nguoithay.vn
8
33: Theo , ta có :



. §PCM
35:



Cho



36
ta có :
Cho

Suy ra :

37: Ta có :
, cho 

38: Ta có :


Vì



39: Ta có


Nguoithay.vn
Nguoithay.vn
9






40: Ta có (1)

(2)


41:  .

Hay:
.
42: a)

b)

43: Ta có :

Nguoithay.vn

Nguoithay.vn
10
 

44: Xét hàm:



Cho

46: Ta có:
.


.
47:
§iÒu kiÖn

* Do

*
 .
48

Ta có :



ó :


49: 

 
 