I'm having trouble trying to figure out what to do for convergence and divergence for a series that has lnx in it for example and
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Originally Posted by akhayoon I'm having trouble trying to figure out what to do for convergence and divergence for a series that has lnx in it for example and try the integral test
Hello, I think ratio test can work too...
Originally Posted by Jhevon try the integral test ...the first one would yield an Ei(x) function...........................thats gross.........or am I integrating wrong? ....
Originally Posted by Moo Hello, I think ratio test can work too... the ratio test is inconclusive Originally Posted by Mathstud28 ...the first one would yield an Ei(x) function...........................thats gross.........or am I integrating wrong? .... you can use the integral test for the second and then use the comparison test for the first in comparing the second with the first
Originally Posted by Jhevon the ratio test is inconclusive you can use the integral test for the second and then use the comparison test for the first in comparing the second with the first ...ahh...I thoguth you just meant to do the integral test....
Originally Posted by Mathstud28 ...ahh...I thoguth you just meant to do the integral test.... yes, my apologies. I am a man of few words (except in MHF chat ) and so it is easy to misunderstand me....
Simple comparison with p-series.
I don't understand how that comparison works...I mean where did the come from and how did it become to the exponent 3/2?? so confused
Originally Posted by akhayoon I don't understand how that comparison works...I mean where did the come from and how did it become to the exponent 3/2?? so confused He just picked a term that was greater than ln(x)...which is ...and he got that from the fact that
so that was completely arbitrary and u could've essentially picked anything greater than lnx??
Originally Posted by Mathstud28 He just picked a term that was greater than ln(x)...which is ...and he got that from the fact that i think the posters point is, how did he know what to pick?
well how would you even integrate by parts?
Originally Posted by akhayoon well how would you even integrate by parts? You can't do it..well not by normal means...by power series you coud...but to be blun where Ei(x) is the exponential integral is
so the book is telling me to use the ratio test... and you get so now I guess how would ln(k+1)/lnk go to 1 would be my basic question... all I know is is that ln(n)/n goes to 0 as n goes to infinity but i haven't seem something like this before..
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