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Mathematics 23 Online
OpenStudy (anonymous):

how do find out if a series converges or divereges??!? please help

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (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.

OpenStudy (anonymous):

or you could write the problem you have trouble with.

OpenStudy (anonymous):

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

OpenStudy (amistre64):

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

OpenStudy (amistre64):

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

OpenStudy (anonymous):

hahah misha isnt my name

OpenStudy (amistre64):

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

OpenStudy (anonymous):

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

OpenStudy (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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

so I believe it diverges

OpenStudy (anonymous):

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

OpenStudy (anonymous):

it doesn't converge!!

OpenStudy (amistre64):

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

OpenStudy (amistre64):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

I am a guy btw

OpenStudy (anonymous):

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

OpenStudy (amistre64):

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

OpenStudy (amistre64):

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

OpenStudy (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.

OpenStudy (anonymous):

always true*

OpenStudy (anonymous):

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

OpenStudy (anonymous):

hahh no worries. thank u

OpenStudy (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.

OpenStudy (anonymous):

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

OpenStudy (anonymous):

right!

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