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This is the second lecture we're making available from Vicky Neale's Analysis 1 course for First Year Oxford Mathematics Students. Vicky writes: "In general, trying to prove that a sequence converges can be quite hard, and doing it from the definition means having to know (or guess) what the limit is. But sometimes the world is a lovely place, and sometimes it's possible to show, quite straightforwardly, that a sequence converges, even without knowing what the limit might be..." You can watch many other student lectures including two other lectures from this course via our main Student Lectures playlist (also check out specific student lectures playlists): https://www.youtube.com/playlist?list=PL4d5ZtfQonW0A4VHeiY0gSkX1QEraaacE All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
