mes 3Speak Podcast

Squeeze Theorem for Sequences

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https://3speak.tv/watch?v=mes/nvxrbgse
In this video I rewrite the general squeeze theorem into its equivalent form for sequences. Essentially, if a sequence is always between two other sequences after a given set of terms, and those two sequences have the same limit, then our given sequence also has that same limit, and is said it gets "squeezed" between the two sequences. Also, at the end of the video, I briefly state another theorem, which states that if the limit of the absolute value of a sequence is zero, than so is the sequence in general. I will prove this in an exercise in a later video.

#math #squeezetheorem #sequences #algebra #education

Timestamps:

  • Recap on general Squeeze Theorem: 0:00
  • Squeeze Theorem for Sequences: 2:37
  • Graphing the Squeeze Theorem: 3:50
  • Theorem 2: If limit of absolute value of sequence goes to zero, so does the general sequence: 6:28

    • Notes and playlists:

    • Summary: https://inleo.io/threads/view/mes/re-leothreads-2wzemacht
    • Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUgfK34Voi6BvrNqt4X4BV
    • Notes: https://peakd.com/mathematics/@mes/infinite-sequences-limits-squeeze-theorem-fibonacci-sequence-and-golden-ratio-more
    • Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .

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      mes 3Speak PodcastBy Math Easy Solutions