bài tập toán cao cấp 2 nguyễn đình trí

... c´o 2 x − x 2 x − 2 = 2 x − 2 2 − (x 2 − 2 2 ) x − 2 =4· 2 x 2 − 1 x− 2 − x 2 − 4 x − 2 · T`u . d ´o suy r˘a ` ng lim x 2 2 x − x 2 x − 2 = 4 lim x 2 2 x 2 − 1 x − 2 − lim x 2 x 2 − 4 x − 2 = ... gi´o . iha . ncu ’ a d˜ay: 0, 2; 0, 22 ; 0, 22 2; ,0, 22 2    n , Chı ’ dˆa ˜ n. Biˆe ’ udiˆe ˜ n a n du . ´o . ida . ng a n =0, 22 2= 2 10 + 2 10 2 + ···+ 2 10 n (DS. lim a n =2/ 9) 7.1. Gi´o . iha . ncu ’ a ... b)(a 2 − ab + b 2 ) suy ra a n =  3 √ n 2 − n 3 + n  3 √ n 2 − n 3  2 − n 3 √ n 2 − n 3 + n 2   3 √ n 2 − n 3  2 − n 3 √ n 2 − n 3 + n 2 = n 2  3 √ n 2 − n 3  2 − n 3 √ n 2 − n 3 + n 2 = 1 [1/n...

Ngày tải lên: 04/10/2012, 09:35

...              ' ' 2 2 2 2 2 2 2 2 ' '' ' 2 2 2 2 2 2 2 2 2 22 2 2 2 2 2 2 2 2 2 2 2 2 22 22 2 2 2 2 2 2 2 2 2 2 . . . . . . xx x x x y y x y x x y y x ...                      ' ' 2 2 2 2 ' '' ' 2 2 2 2 2 2 2 2 2 22 22 22 2 2 2 2 2 2 22 2 2 2 2 2 2 2 2 2 2 . . . . . . xy x y x x y y x y x zz x y y x y x ...          2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 '' ' ' '' ' 2 2 2 2 2 2 ' ' 22 2 2 2 2 2 . 1 2 . . 1 1 .2 . 2 . 2 . . 1 2 .2 . 2. 4 . . 1 4 x y x...

Ngày tải lên: 08/04/2014, 20:44

... ) ( ) ( ) 1 2 2 1 2 3 1 2 3 1 3 2 2 3 9 1 2 2 1 0 0 1 2 2 1 0 0 2 1 2 0 1 0 0 3 6 2 1 0 2 2 1 0 0 1 0 6 3 2 0 1 1 2 2 1 0 0 1 2 2 1 0 0 2 1 0 3 6 2 1 0 0 1 2 0 3 3 0 0 9 2 2 1 2 2 1 0 0 1 9 9 ... có: 11 ( ) 1 2 1 3 1( 2) 3 1( 1) 4 2 5 1 2 1 5 2 2 1 5 2 2 3 7 1 4 1 7 3 4 0 2 1 6 3 9 2 7 2 9 3 7 0 1 1 3 4 6 1 2 1 6 4 2 0 1 2 0 2 1 6 2 1 1 1 1 3 1 1 1 2 0 1 2 3 12 6 12 3 h h c c h h h ... 2 1( 2) 3 2( 1) 3 1( 1) 4 3( 1) 4 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 2 3 4 2 0 1 2 3 0 0 1 2 3 0 2 3 5 9 2 0 1 3 7 2 0 0 1 4 2 1 1 2 7 2 0 0 1 6 0 0 0 1 6 0 1 1 1 1 2 0 1 2 3 0 0 0 1 4 2 0 0 0 2...

Ngày tải lên: 15/04/2014, 15:18

Ngày tải lên: 17/11/2014, 08:22

Ngày tải lên: 17/11/2014, 18:30

... c´o 2 x − x 2 x − 2 = 2 x − 2 2 − (x 2 − 2 2 ) x − 2 =4· 2 x 2 − 1 x− 2 − x 2 − 4 x − 2 · T`u . d ´o suy r˘a ` ng lim x 2 2 x − x 2 x − 2 = 4 lim x 2 2 x 2 − 1 x − 2 − lim x 2 x 2 − 4 x − 2 = ... nˆen 1+ 1 2 + ···+ 1 2 n = 2( 2 n − 1) 2 n , 1+ 1 3 + ···+ 1 3 n = 3(3 n − 1) 2 · 3 n v`a do d´o: lim a n = lim 2( 2 n − 1) 2 n · 2 · 3 n 3(3 n − 1) = 2 lim 2 n − 1 2 n · 2 3 lim 3 n 3 n − 1 = 2 lim[1 ... ta c´o: 2+ 4+6+···+2n = 2+ 2n 2 · n; 1+3+5+···+(2n +1)= 1+(2n +2) 2 (n +1). Do d ´o a n = n n +1 ⇒ lim a n =1. 3) Nhu . ta biˆe ´ t: 1 2 +2 2 + ···+ n 2 = n(n + 1)(2n +1) 6 22 Chu . o . ng 7....

Ngày tải lên: 12/09/2012, 16:20

... 127 .0.0.1 downloaded 60384.pdf at Thu Aug 16 22 :13 :22 ICT 20 12 127 .0.0.1 downloaded 60384.pdf at Thu Aug 16 22 :13 :22 ICT 20 12 127 .0.0.1 downloaded 60384.pdf at Thu Aug 16 22 :13 :22 ICT 20 12 ... 127 .0.0.1 downloaded 60384.pdf at Thu Aug 16 22 :13 :22 ICT 20 12 127 .0.0.1 downloaded 60384.pdf at Thu Aug 16 22 :13 :22 ICT 20 12 127 .0.0.1 downloaded 60384.pdf at Thu Aug 16 22 :13 :22 ICT 20 12 ... 127 .0.0.1 downloaded 60384.pdf at Thu Aug 16 22 :13 :22 ICT 20 12 127 .0.0.1 downloaded 60384.pdf at Thu Aug 16 22 :13 :22 ICT 20 12 127 .0.0.1 downloaded 60384.pdf at Thu Aug 16 22 :13 :22 ICT 20 12 ...

Ngày tải lên: 11/03/2014, 17:29

Ngày tải lên: 27/06/2014, 02:20

Ngày tải lên: 17/09/2014, 23:49

... c´o 2 x − x 2 x − 2 = 2 x − 2 2 − (x 2 − 2 2 ) x − 2 =4· 2 x 2 − 1 x− 2 − x 2 − 4 x − 2 · T`u . d ´o suy r˘a ` ng lim x 2 2 x − x 2 x − 2 = 4 lim x 2 2 x 2 − 1 x − 2 − lim x 2 x 2 − 4 x − 2 = ... (15 -26 ) 15. lim x→0 √ 1+x + x 2 − 1 x (D S. 1 2 ) 16. lim x 2 √ 3+x + x 2 − √ 9 − 2x + x 2 x 2 − 3x +2 (D S. 1 2 ) 17. lim x→0 5x 3 √ 1+x − 3 √ 1 − x (D S. 15 2 ) 18. lim x→0 3 √ 1+3x − 3 √ 1 − 2x x ... x)tg πx 2 (D S. 2 π ) 41. lim x→1 1 − x 2 sin πx (D S. 2 π ) 42. lim x→π sin x π 2 − x 2 (DS. 1 2 ) 43. lim x→0 cos mx− cos nx x 2 (DS. 1 2 (n 2 − m 2 )) 44. lim x→∞ x 2  cos 1 x − cos 3 x  (D S. 4) 45....

Ngày tải lên: 11/04/2013, 13:09

... khi λ = 21 2 .Tac´o  A =      12 21 2    3 3 −1 − 21 2    2 21 3 à h 1 ì 2 h 1 h 2 ì 2 h 2 24 21 6 6 2 21 4 21 3 à h 2 3h 1 h 2 h 3 h 1 h 3 24 21 6 0 ... tr`ınh 1) x 1 +2x 2 +3x 3 =6, 2x 1 − x 2 + x 3 =2, 3x 1 − x 2 − 2x 3 =2.      (4.7) 2) x 1 − 2x 2 +3x 3 − x 4 =6, 2x 1 +3x 2 − 4x 3 +4x 4 =7, 3x 1 + x 2 − 2x 3 − 2x 4 =9, x 1 − 3x 2 +7x 3 +6x 4 = ... · 4+1· 2= 2, x 2 = − 5 2 · 4+4· 4 − 3 2 · 2= 3, x 3 = 1 2 · 4 − 1 · 4+ 1 2 · 2= −1. 2) Viˆe ´ t ma trˆa . n A cu ’ ahˆe . v`a t`ım A −1 : A =    32 1 11 2 22 5    ⇒ A −1 =    1 − 12 5 −117−7 0...

Ngày tải lên: 15/08/2013, 15:21

... c´o 2 x − x 2 x − 2 = 2 x − 2 2 − (x 2 − 2 2 ) x − 2 =4· 2 x 2 − 1 x− 2 − x 2 − 4 x − 2 · T`u . d ´o suy r˘a ` ng lim x 2 2 x − x 2 x − 2 = 4 lim x 2 2 x 2 − 1 x − 2 − lim x 2 x 2 − 4 x − 2 = ... nˆen 1+ 1 2 + ···+ 1 2 n = 2( 2 n − 1) 2 n , 1+ 1 3 + ···+ 1 3 n = 3(3 n − 1) 2 · 3 n v`a do d´o: lim a n = lim 2( 2 n − 1) 2 n · 2 · 3 n 3(3 n − 1) = 2 lim 2 n − 1 2 n · 2 3 lim 3 n 3 n − 1 = 2 lim[1 ... (15 -26 ) 15. lim x→0 √ 1+x + x 2 − 1 x (D S. 1 2 ) 16. lim x 2 √ 3+x + x 2 − √ 9 − 2x + x 2 x 2 − 3x +2 (D S. 1 2 ) 17. lim x→0 5x 3 √ 1+x − 3 √ 1 − x (D S. 15 2 ) 18. lim x→0 3 √ 1+3x − 3 √ 1 − 2x x...

Ngày tải lên: 24/08/2013, 10:16

... x 1 =9,x 2 =2, x 3 =2) 2. x 1 − 3x 2 − 4x 3 =4, 2x 1 + x 2 − 3x 3 = −1, 3x 1 − 2x 2 + x 3 =11.      .(D S. x 1 =2, x 2 = 2, x 3 =1) 3. 2x 1 +3x 2 − x 3 =4, x 1 +2x 2 +2x 3 =5, 3x 1 +4x 2 − 5x 3 =2.      .(D S. ... x 2 +4x 3 + x 4 − x 5 =2, x 1 − 2x 2 − 2x 3 +3x 5 =0, 4x 2 +3x 3 − 2x 4 +2x 5 =2, 2x 1 − x 3 +3x 4 − 2x 5 = 2, 3x 1 +2x 2 − 5x 4 +3x 5 =3.                . (D S. x 1 = 2 5 , x 2 = ... 9   1 1 23 −45   2 2 11 12 25 22   4    h 2 − h 1 → h  2 h 3 − 2h 1 → h  3 −→ −→    13579   1 0 −5 2 −11 −4   1 0 521 14   2    h 3 + h 2 → h  3 −→ −→    13579   1 0 −5 −2...

Ngày tải lên: 23/10/2013, 18:15

Ngày tải lên: 21/12/2013, 22:56

... dx = 15 (11 -2) 2 25 5 о 5 2 9 2 S 12 [5х 2 1 ] 5 =15(n -2) .25 (5x-x 2 )dx 125 (n -2) -2 З ХЗ 0= о 12 ( 125 125 ) 2 = 125 (n -2) т-т = n -2 ã 79. , линиями ... 41. х= 2- 2у, х+у=о. 42. у =2- х, 2= 4х+4. 43. 2= 4х_х 2 , 2= 2х 44. 3 2= 25х, 5х 2 =9у. (вне парабо.ТJЫ). 45. y2+2y-' Зх+l=О, Зх-3у-7=О. 47. у= 4х- 2& quot; У= 2 ' -5х. ... (-9 /2) . i:::. Испо.1Ь3УЯ ФОР~JУ.1У (5) при а= 1 /2 и n=5, получим Г (~-5)=Г(-1.) (-I)Ъ·Г(I /2) , 2 2 (1-1j2) (2- 1 /2) (5-1 /2) -i ~32i ã (IJ2). (3 /2) Ã (5 /2) . (7 /2) . (9 /2) 945'...

Ngày tải lên: 25/05/2014, 09:55

Ngày tải lên: 20/06/2014, 16:20

Ngày tải lên: 20/06/2014, 16:20

Ngày tải lên: 20/06/2014, 16:20

Ngày tải lên: 20/06/2014, 16:20