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kudakadere Says:

Dec 28, 2008 - usually if there is a sequence of numbers you can find a general rule for working out the next number if you know the previous number. i tried to do this for prime numbers but it seems really hard.

vadskjld Says:

Dec 28, 2008 - very Usefull .. Thanks man :)

gBakos126 Says:

Mar 22, 2009 - I'm pretty sure it's impossible to do this. I watched an episode of the show "NUMB3RS" and they were trying to do this. I got this from the show: If someone would work this out it would be a disaster, because internet encryption relies on prime numbers to encode private data on the internet. Prime numbers occur randomly on the number line without order.

patrickJMT Says:

Mar 22, 2009 - very true: prime numbers play the key role in encrypting data

lalolita5 Says:

Mar 23, 2009 - Patrick, how do you do this: Sum (n=1 to infinity) of arctan n ???? I could not find anything similar in your videos. The squeeze theorem maybe? or not at all?? Any guidance?? Please please!! :)

patrickJMT Says:

Mar 23, 2009 - use test for divergence limit as n goes to infinity of arctan is pi/2, so the series diverges!!

abenebaby Says:

Mar 24, 2009 - you are amazing! thanks so much! i was so confused with series

Kimidoki Says:

Apr 7, 2009 - thank god i finally found this video ;_; all the other videos either glanced over it or it was hard to understand. thank you very much i have a sequence and series test tomorrow!

dezihunk Says:

Apr 12, 2009 - Thanks A lot! My Instructor this quarter for Calc 3 just copies examples done in the textbook reads the text. Looking at these videos make sense now! Thanks yet again!

masterncomder23 Says:

Apr 22, 2009 - Excellent Calculus video, Patrick. Really informative.

masterncomder23 Says:

Apr 22, 2009 - I'm taking Calc BC this year, and we went over Series and Sequences and it was pretty confusing. So, this was a pretty good review.

filmcruiser88 Says:

Apr 29, 2009 - dezihunk: I know what you mean and I can't stand professors like that :(

filmcruiser88 Says:

Apr 29, 2009 - is it fair to say the series is convergent if r is a proper fraction (numerator is less than denominator)

patrickJMT Says:

Apr 29, 2009 - only if both are positive : ) otherwise -3/1 would not work (negative 3 is less than one)

polzowatel Says:

Apr 30, 2009 - isn't it 0|x|1 ?

polzowatel Says:

Apr 30, 2009 - ops my bet, same thing))

KingScar06 Says:

May 17, 2009 - Oh nvm, it should be (-1, 1), sorry.

granadaza Says:

Jun 7, 2009 - Way to go Patrick! Thanks

scrambledxeggs Says:

Jun 24, 2009 - thanks! this was very helpful! just wondering dont the markers smell a lot?

utheather Says:

Jul 29, 2009 - Dude these videos are the best calc videos I've found!! (And I've gone through quite a few. heh.)

christopherchubb Says:

Aug 4, 2009 - an absolute is greater than 0 by definition, its superfluous and unnecassary

Nanumir Says:

Aug 4, 2009 - very helpful, thanks a bunch

silhavydan Says:

Sep 29, 2009 - great!

cervantespr Says:

Nov 2, 2009 - Todas las series alternates divergen? se me olvido... heheheh

RylyC Says:

Nov 4, 2009 - The zero doesn't need to be written.