Weierstrass M-Test

[@douglasstrother6584]

This video was the last one in his playlist on Real Analysis. It's definitely worth the time!

[@brightsideofmaths]

Thank you very much! I added this video to the Playlist because it fits in :)

[@marcelocoto3245]

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

[@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 :)

[@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 :)

[@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!

[@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