Boundedness Theorem WVoice Explanation Proof Maths Mad Teacher

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=BG9xkfBjsMQ

This video explains the Boundedness Theorem in the most simple and easy way possible, whose statement is, Let, I=[a,b] be a closed bounded interval and let f:I→R be continuous on I. Then, f is bounded on I. • CORRECTION: At 2:11 and 6:14 both n and r belong to the set of Natural Numbers instead of set of Real Numbers. • REASON: Both n and r represent the elements of the sequence f(x_n) which are basically f(x_1), f(x_2), f(x_3), ... , f(x_n) and for instance they can't be f(x_0.1), f(x_7.89) etc. • Every convergent sequence is bounded Proof: • • Every convergent sequence is bounded ... • -------------------------------GIVEAWAY RULES---------------------------------------------- • To win Oxford Concise Dictionary of Mathematics follow the instructions given below: • 1) Subscribe to my channel • 2) Like any of the video on this channel • 3) Comment (on any of the video on this channel) which topic of Maths you want me to cover? • ** Make sure your subscriptions are visible to public. • ***Open Internationally. • ****There will be two winners. • *****Winners will be announced when this channel hit 1000 SUBS. • GOOD LUCK!! • • Leave your REQUESTS down below! • Please Share SUBSCRIBE xoxo!

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