1124worksheet10

1124worksheet10 - (c) X n =1 4 n ( n + 2) n 8 (7) Determine...

Info iconThis preview shows pages 1–11. Sign up to view the full content.

View Full Document Right Arrow Icon
Polytechnic Institute of NYU MA 1124/1424 Worksheet 10 Print Name: Signature: ID #: Instructor/Section: Directions: Show all your work for every problem. Problem Possible Points 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10 10 10 Total 100 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 (1) Use the integral test to decide whether the series converge or diverge. (a) X n =1 1 2 n - 1 (b) X n =1 1 3 n (c) X n =1 ln n n (d) X n =1 1 e πn
Background image of page 2
3 (2) Use the comparison test to determine whether the series converges or diverges. (a) X n =1 2 n ( n + 2) (b) X n =1 n ( n + 3)( n + 2) (c) X n =1 n e n (d) X n =1 ln n n
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
4 (3) Use the comparison test to determine whether the series converges or diverges. (a) X n =1 n + 1 n 3 n - 2 (b) X n =1 1 (3 n + 1) 2 (c) X n =1 n + 1 n 2 + 1 (d) X n =1 n ( n + 1) 2 - n
Background image of page 4
5 (4) Use the comparison test to determine whether the series converges or diverges. (a) X n =3 1 n 2 - 4 (b) X n =1 n 2 + 1 n 4 + 1 (c) X n =1 n + 1 n 2 n (d) X n =1 1 + 2 n 1 + 3 n
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
6 (5) Determine whether the series converges or diverges. (a) X n =1 k ! 10 4 k (b) X n =1 k ! ( k + 2)! (c) X n =1 k !(2 k )! (3 k )!
Background image of page 6
7 (6) Determine whether the series converges or diverges. (a) X n =1 (2 n )! n 4 (b) X n =1 3 n n !
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 10
Background image of page 11
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (c) X n =1 4 n ( n + 2) n 8 (7) Determine whether the series converges or diverges. (a) X n =1 n n + 100 n (b) X n =1 2 n n ! n n (c) X n =1 1 n n 9 (8) Determine whether the series converges or diverges. (a) X n =1 (2 n + 1) 2 n (5 n 2 + 1) k (b) X n =1 n n (3 n ) 2 (c) X n =1 n n 4 ( n 2 ) 10 (9) Determine whether given alternating series is absolutely convergent, conditionally convergent, or divergent. (a) X n =1 (-1) n +1 1 ( n !) 2 (b) X n =1 (-1) n +1 n 2-3 n 2 + n + 2 (c) X n =1 (-1) n +1 n n 2 + 1 11 (10) Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (a) X n =1 (-1) n 2 n n 2 + 1 (b) X n =1 (-1) n 2 n 3 n-4 (c) X n =1 cos n n 2...
View Full Document

This note was uploaded on 12/09/2009 for the course MA 1124/1424 taught by Professor Harvanshmanocha during the Spring '09 term at NYU Poly.

Page1 / 11

1124worksheet10 - (c) X n =1 4 n ( n + 2) n 8 (7) Determine...

This preview shows document pages 1 - 11. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online