The Bolzano Weierstrass Theorem

We prove the Bolzano-Weierstrass Theorem. This asserts that any bounded sequence of real numbers contains a convergent subsequence.
#mikedabkowski, #mikethemathematician, #profdabkowski, #realanalysis

[@Music-bb3rw]

I have attempted to understand the Bolzano-Weierstrass Theorem multiple times, but I was still confused until I watched your explanation. I am truly grateful for your video. Thank you so much!

[@mikethemathematician]

@Music-bb3rw You are welcome! If there are any more analysis videos you would like to see, let me know!

[@lucvansprang357]

Wow, are you writing everything in mirror-image?? great explanation

[@mikethemathematician]

Thanks for watching! I am writing ordinarily, but the camera mirrors the image!