Real Analysis 12 | Examples for Limit Superior and Limit Inferior

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This is my video series about Real Analysis. We talk about sequences, series, continuous functions, differentiable functions, and integral. I hope that it will help everyone who wants to learn about it.

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00:00 Intro
00:37 Example
01:31 Properties of lim sup and lim inf
03:00 Properties for combining 2 sequences
04:53 Example summation of 2 sequences
06:00 Example product of 2 sequences
06:57 Credits

#RealAnalysis
#Mathematics
#Calculus
#LearnMath
#Integrals
#Derivatives

I hope that this helps students, pupils and others. Have fun!

(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

[mattetor]

I am getting hungry hearing all this talk about lim soup!

[qiaohuizhou]

1:30 property of lim sup and lim inf
3:30 summation of two sequence
3:45 product of two sequence

[eamunozzzzzz]

I wish all the best to you, will make sure my students stop by

[xoppa]

In general I believe this property holds,
inf { (a_n ) } <= lim inf (a_n ) <= lim sup (a_n) <= sup { (a_n) }, where n ranges over N, and lim inf and lim sup have n →oo,

[luiginotcool]

real analysis exam in 2 days... yeah i got time!

[mathsandsciencechannel]

Nice sir. Keep it up. I love solving challenging calculus, algebra, trigonometry and geometry maths problems on

[pedrogoncalves]

Could you enable videos with subtitles for automatic translation?