## anonymous 5 years ago how do find out if a series converges or divereges??!? please help

1. anonymous

wow this is like asking "how do I solve a math problem?" :P

2. anonymous

well i jus want to know a general way...my teacher sucks!

3. anonymous

There are a lot of different methods for proving different types of convergence, some of which are more appropriate than others for different series constructs. Take a look at http://en.wikipedia.org/wiki/Convergence_tests for an overview. If this is in response to a particular assignment or section of a book, I would focus on the methods discussed in the chapter.

4. anonymous

or you could write the problem you have trouble with.

5. anonymous

sumation of (n+3)/(3n-4), where n starts frm 2 and goes to infintiy

6. amistre64

well, at infinity it looks like it approaches 1/3 ..... but I aint sure if that proves convergence or not....

7. amistre64

misha is a russian name.... means michelle or michael.... one who is like unto God :)

8. anonymous

hahah misha isnt my name

9. amistre64

is summation convergense the same as the limit of a horizontal asymptote? I aint really delved into those yet

10. anonymous

haha i dont know. i didnt know you could just take limit..

11. amistre64

all the numbers added up together would tend to converge to a number that is slowly and slowerly coming into view...is what I think it means

12. anonymous

well I think using the test of divergence and since it does not approach zero as n approaches infinity, it is not convergent.

13. anonymous

so I believe it diverges

14. anonymous

soo it converges..? and they want the sum of the series..how do u do that?

15. anonymous

it doesn't converge!!

16. amistre64

lol...id have to read a book foirst before I could give you a definite answer :)

17. amistre64

go with Anwar....hes smarter :) or she....

18. anonymous

^^ lol I am not.. you're the man here! :)

19. anonymous

I am a guy btw

20. anonymous

so it has to go to 0 for it to be considered converging..??

21. amistre64

i wanted a cool title like "turkey clun on rye" but noooooo......they give me "superhero" :)

22. amistre64

club.....i meant club......its there fat fingers hovering over this tiny little keyboard....

23. anonymous

yeah, if a series is convergent then it has to approach zero as n approaches infinity.,but be careful the opposite is not always.

24. anonymous

always true*

25. anonymous

NOT always true* (what's wrong with me?)

26. anonymous

hahh no worries. thank u

27. anonymous

If the limit of the summand is undefined or nonzero, that is , then the series cannot converge. In this sense, the partial sums are Cauchy only if this limit exists and is equal to zero. The test is inconclusive if the limit of the summand is zero.

28. anonymous

yea i already used wiki..so this one doesnt converge so u cant find its sum rite.?

29. anonymous

right!