Absolute Value Theorem For Sequences

[@TheOrganicChemistryTutor]

Next Video: kzbin.info/www/bejne/aGLPoIxvgqd-aaM

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for a short and sweet video/lecture on the Absolute Value Theorem for Sequences in Calculus Two. This Theorem is built for convergence of Sequences in Calculus. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.

[@jasonthomas2908]

Another great vid, thanks heaps

[@YousufZamanOfSteel]

At 4:40, isn't the graph of the absolute value of ((-1)^x)/x the same as the graph of 1/x?

[@muhammadsohaib3608]

yeah, ur right. ig

[@Cobenski4]

i tought the same tbh since (-1)^x is just 1 with absolute values 💀

[@p.c2750]

I think you are "jack of all trades and MASTER of all."

[@peterzhao3387]

bro is single handedly carrying my entire life

[@nelson12737]

amazing! thanks!

[@masterofdisaster1911]

Proof :Let's assume ε>0. Since |An| -> 0, there is n0 (natural) so that for every natural n so that n>=n0 ||An|-0|

[@henrywu5017]

thanks!!!

[@mryup6100]

Makes sense!

[@adropfromocean4773]

Can we say it for infinity or just 0?

[@thomas__pat363]

I think you can say it for any number but I'm not sure(par example: ((-1) ^n/n) +x would be convergent to x like |((-1) ^n/n) + x| would, so it works with any number maybe? I'm not sure thought we haven't been taught this in school yet. But I think that's the case.

[@isacoto948]

seen

[@oswin4715]

1st pin me

[@yuni7131]

no