Monotonic and bounded sequences

Recorded on June 30, 2011 using a Flip Video camera.

[aishakhan]

i literally watched 3 others videos about bounds that were like thirty mins long before this and none of them made sense. bless ur heart for making sense in less than 5 mins.

[priscahndagwedhah]

Thank you sir. Simple and making sense. Better than my lecturer. God bless you

[arobbins]

Thank you! If only analysis profs were this clear!

[teifaf]

Thank you! Excellent explanation. Short and sweet. Love it!

[johnholme]

Well done, I now have a good intuitive grasp of the theorem, so simple to understand when you use a graph to illustrate it.

[tolife]

thank you so much ... you make it much easier for us.

[mrbeaches]

This was really helpful :)
You're very good at teaching

[Thesilver]

thanks a lot mr.david that was really helpful

[rhitheawesomest]

thank you soo much for posting this video!

[dlippmanmath]

Not always. A sequence like a_n = sin(n)/n^2 is convergent, but is not monotonic.

[TanksPokemon]

I'm guessing that the converse is true? That is, all convergent sequences are bounded and monotonic?

[sfundomabaso]

Hi, thank you for explaining monotonic sequences. Could you please also explain why is it that when sum of series An and sum of sequence Bn when they're both convergent, why is it that the sum of the product of An and Bn is also convergent

[leenapauline]

Can you please tell me when is a function said to be "strictly bounded"

[maathIAs]

1/n diverges at both the x and y axis :/

[brucelee]

your voice is like a monotonic sequence... jk lol!

[n]

well.... yes but..  The harmonic sequence 1/n is divergent