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[2016-11-19. : 4:54 pm]  Vrael -- ok so if f(x) = sum(x^n / n^2), we don't care about the n^2 part for convergence, so f'(x) ~ sum(n*x^(n-1)) ~ n*sum(x^(n-1)) which converges for (n-1) <= -2[2016-11-19. : 4:48 pm] Vrael -- which is convergent, but I doubt we're considering negative values of X simply because they always use x > 0 in these classes[2016-11-19. : 4:47 pm] Vrael -- if x is just all values of the reals then sum(x^1) is just 0 by symmetry[2016-11-19. : 4:43 pm] Vrael -- the convergence of sum(x^n / n^2) is equivalent to the convergence of C*sum(X^n) since n^2 is a constant for any value of n[2016-11-19. : 4:42 pm] Vrael -- Mini Moose 2707Mini Moose 2707 shouted: Er, [-1, 1] since when does the sum( x^1 / 1^2) converge?[2016-11-19. : 4:19 pm]  Oh_Man -- Dem0nDem0n shouted: My friend's dog keeps licking my pants/socks Yeah that's not gonna hold up in court[2016-11-19. : 6:59 am]  O)FaRTy1billion[MM] -- ButchButch shouted: doesnt seem like you're giving it your all I'm not[2016-11-19. : 6:01 am] Butch -- https://www.twitch.tv/ancientpickle doin some mapping and listening to tunes for a bit[2016-11-19. : 5:02 am] Lanthanide -- this is ridiculous: https://www.youtube.com/watch?v=xP5-iIeKXE8[2016-11-19. : 4:38 am] Moose -- > 2016 > Study maths > Only give a finite percentage of effort > SMH[2016-11-19. : 2:51 am] O)FaRTy1billion[MM] -- fortunately I have 101% in the class, so just as long as the final isn't entirely series I'll be golden  [2016-11-19. : 2:40 am] O)FaRTy1billion[MM] -- I'm understanding power series until it starts having you do it by integrating or taking the derivative[2016-11-19. : 2:37 am] jjf28 -- FaRTy1billionFaRTy1billion shouted: jjf28 I don't believe you, there is no evidence that a Centreri is a real thing This is an outrage. I demand that you hand over your captain's jacket![2016-11-19. : 2:20 am] O)FaRTy1billion[MM] -- jjf28jjf28 shouted: A wild Centreri appears! I don't believe you, there is no evidence that a Centreri is a real thing[2016-11-19. : 2:13 am] O)FaRTy1billion[MM] -- I'm glad I'm almost done with series. idk if it's just not being explained well to me or what, but I have no idea what I'm doing xD[2016-11-19. : 2:12 am] O)FaRTy1billion[MM] -- now I just need to figure out how to do power series with 9xln(1+x) [2016-11-19. : 2:11 am] O)FaRTy1billion[MM] -- Mini Moose 2707Mini Moose 2707 shouted: It would converge on [1, 1], tbh ya, I got that for f(x), but then it asks for 1st and 2nd derivatives[2016-11-19. : 2:11 am] jjf28 -- Fire_KameFire_Kame shouted: jjf28 did you eat sketchy kebabs from that guy in the back alley have you been spying on me?![2016-11-19. : 2:10 am] O)FaRTy1billion[MM] -- the questions says that the radius of convergence remains the same, but the interval can differ. I'm asking if the difference in closed and open thingies is what it means, because I expected it meant something else[2016-11-19. : 2:10 am] O)FaRTy1billion[MM] -- I know that, I'm asking if I did the question right xD[2016-11-19. : 2:09 am] Moose -- FaRTy1billionFaRTy1billion shouted: FaRTy1billion FaRTy1billion I get [-1,1], [-1,1), and (-1,1). is the difference in []s and ()s what it means by the interval can differ? [ and ] denote a closed interval boundary, ( and ) denote open interval boundary[2016-11-19. : 2:08 am] O)FaRTy1billion[MM] -- Fire_KameFire_Kame shouted: jjf28 did you eat sketchy kebabs from that guy in the back alley If you did I am very disappointed in you. I've told you again and again not to get kebabs from that man.[2016-11-19. : 2:07 am] Fire_Kame -- jjf28jjf28 shouted: feels more like food poisoning night did you eat sketchy kebabs from that guy in the back alley [2016-11-19. : 2:06 am] O)FaRTy1billion[MM] -- FaRTy1billionFaRTy1billion shouted: it says to find the interval of convergence of f(x)=Σxn/n2. I think I got it, but it seems to imply there will be more difference than what I got FaRTy1billion FaRTy1billion shouted: er, of f(x) and of it's 1st and 2nd derivatives I get [-1,1], [-1,1), and (-1,1). is the difference in []s and ()s what it means by the interval can differ?[2016-11-19. : 1:56 am] O)FaRTy1billion[MM] -- isn't that what people wanted,so we could kick the 12yo TS kids?[2016-11-19. : 1:48 am] O)FaRTy1billion[MM] -- it says to find the interval of convergence of f(x)=Σxn/n2. I think I got it, but it seems to imply there will be more difference than what I got [2016-11-19. : 1:46 am] O)FaRTy1billion[MM] -- or tell me how to do derivatives of power series. I think I got it, but I'm not sure |
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