05.03.2015 Views

calculo-de-una-variable-1

calculo-de-una-variable-1

calculo-de-una-variable-1

SHOW MORE
SHOW LESS
  • No tags were found...

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

ÁPENDICE I RESPUESTAS A EJERCICIOS DE NÚMERO IMPAR |||| A109<br />

37. 0.18976224, error 6.4 10 7 29. , <br />

31. (s3, s3)<br />

41. 4, 6, 2 43. 0.5, [2.5, 3.5)<br />

45.<br />

47. 1 n x n2 , R 1 49.<br />

51.<br />

53.<br />

n 1<br />

2 1 1<br />

x <br />

n0 2n!<br />

<br />

n0<br />

<br />

1 n<br />

n0<br />

1<br />

2 <br />

55. C ln x x n<br />

n1 n n!<br />

57. (a) 1 1 2 x 1 1 8 x 1 2 1<br />

16 x 1 3<br />

(b) (c) 0.000006<br />

1.5<br />

n1<br />

6<br />

<br />

1 5 9 4n 3<br />

n!2 6n1 x n , R 16<br />

2n<br />

<br />

<br />

n1<br />

x 8n4<br />

2n 1! , R <br />

s3<br />

2n 1!<br />

x <br />

x n<br />

n , R 1<br />

6<br />

<br />

2n1<br />

<br />

33. , 1<br />

35. 1, 0 1, <br />

37.<br />

, 0 ( 1 4, )<br />

39. 10 C 35 41. (a) T 20 10h, 0 h 12<br />

(b) 30C T 20C 43. 3 45. 2, 4 2<br />

3<br />

47. 3, 3 49. 3, 5 51. , 7 3, <br />

53. 1.3, 1.7 55. 4, 1 1, 4<br />

57. x a bcab 59. x c ba<br />

EJERCICIOS B &<br />

0 1<br />

0 1<br />

4<br />

PÁGINA A15<br />

_œ„3 0 œ„3<br />

_1 0 1<br />

1. 5 3. s74 5. 2s37 7. 2 9.<br />

9 2<br />

0<br />

T£<br />

f<br />

2<br />

17. y<br />

19.<br />

x=3<br />

0 3 x<br />

y<br />

xy=0<br />

0 x<br />

59.<br />

1 6<br />

PROBLEMAS ADICIONALES PÁGINA 762<br />

&<br />

1. 15!5! 10 897 286 400<br />

3. (b) 0 si x 0, 1x cot x si x k, n un entero<br />

5. (a) s n 3 4 n , l n 13 n , p n 4 n 3 n1 (c) 5s3<br />

9. 1, 1, x3 4x 2 x<br />

11.<br />

250<br />

13. (a) 101e (n1)5 e n5 (b)<br />

APÉNDICES<br />

2<br />

ln 1 2<br />

(1 x) 4<br />

250<br />

101<br />

21. y 6x 15 23. 2x 3y 19 0<br />

25. 5x y 11 27. y 3x 2 29. y 3x 3<br />

31. y 5 33. x 2y 11 0 35. 5x 2y 1 0<br />

37. m 1 3, 39. m 0, 41. m 3 4,<br />

b 0<br />

b 2<br />

b 3<br />

y<br />

y<br />

y<br />

0<br />

x<br />

0 x<br />

0 x<br />

y=_2<br />

_2<br />

_3<br />

EJERCICIOS A &<br />

PÁGINA A9<br />

43. 45.<br />

<br />

1. 18 3. 5. 5 s5 7. 2 x<br />

9. x 1 x 1 para x 1<br />

11.<br />

x 1 para x 1<br />

13. 2, <br />

15. 1, <br />

x 2 1<br />

y<br />

0<br />

x<br />

y<br />

0<br />

x<br />

_2<br />

0<br />

_1<br />

0<br />

17. 3, <br />

19.<br />

3<br />

21. 0, 1<br />

23.<br />

2, 6<br />

2 6<br />

[1, 1 2 )<br />

47. 49.<br />

y<br />

y<br />

y 4<br />

0 1<br />

25. , 1 2, <br />

27.<br />

[1, 1 2 ]<br />

_1 1<br />

2<br />

_2 0 2<br />

x<br />

x 2<br />

1 2<br />

_1 1<br />

2<br />

0<br />

x

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!