Weierstrass M-Test

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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.
#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)
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[@fredartchannel7508]

need this for my exam in 45 minutes

[@brightsideofmaths]

Nice! How was it?

[@fredartchannel7508]

@@brightsideofmaths the exam was pretty chill actually! video helped me quite a bit . i’ll get the result in a couple days so wish me luck :)

[@marcelocoto3245]

I remember this test from Calculus 1 and 2, especially from calculus 2 when studying sequences of functions and later power series

[@belenbernales1963]

Can it be done normally if the series starts at k=0? Or do I have to modify something?

[@brightsideofmaths]

It's the same :)

[@whatitmeans]

Could this test been used to prove/disprove if the solution to the following ODE converges to zero in finite time T < infty? y'' + 0.021sgn(y')sqrt(|y'|) + 0.02sin(y) = 0, y_0 = pi/2, y'_0 = 0

[@Happy_Abe]

@2:38 what is a uniform major for functions mean?

[@brightsideofmaths]

majorant, and exactly this timestamp gives the formula for this

[@Happy_Abe]

@@brightsideofmathsthank you, haven’t come across this term before. So an upper bound!