When is a sequence bounded? - Week 1 - Lecture 12 - Sequences and Series

[@MrSergioa40]

I loved the explanation for boundedness!

[@kisonecat]

I'm super glad you liked it!

[@User-bq9qz]

for this example 6:44 why can't we say that -1≤sin (anything)≤1 so when we multiply by N, it becomes bounded by -N≤ Nsin (anything)≤N why's it wrong to do this?

[@ruixueli1903]

feel the passion.I like your teaching!

[@abubakar205]

bestest explaination mannnnn

[@67artun]

Sir, what program do you use to draw these awesome graphics, to my knowledge one cannot draw these illustrations by using Matlab. thanks for the videos.

[@kisonecat]

I drew that with a little python code that wrote some TikZ code.

[@emirhancalskan1581]

Very nice way to put it

[@chwu3682]

Why don't we just say the series, bn is bounded by our choice of n ? Or is the goal to find a bound M, no matter what n we choose?

[@nyeeesss2424]

what's a limit point of a sequence?

[@lLl-fl7rv]

You should be my teacher.

[@ummidkwhattosayx]

This might be a stupid question, but why isn't an= 2n+1/n bounded by 0? since 1/0 DNE?

[@drmdshahidulislamdhakauniv6549]

an=n=1,2,3,...... n is not 0 ,so that it is not dne

[@drmdshahidulislamdhakauniv6549]

an=n=1,2,3,.....n is not 0.so it is not dne

[@jonsnow9246]

Nice video! 0:33 what font is that?

[@kattabhassan5237]

Please M .Can you tell me book have squnes series questions

[@kisonecat]

There is a textbook of sorts for these videos at ximera.osu.edu/mooculus/calculus2

[@erickpeculiar823]

Thank you so much the definition kind of confused.

[@kisonecat]

You're welcome -- I hope it makes more sense now!

[@Calculus99]

You are amazing.

[@studsad9928]

thanx sir.vedio was too helpful......

[@aishwaryapaulmatthew471]

Awesome!!