What is a Singular Limit?

In this video I give some examples for "singular" or "discontinuous" limits and explain why it is important to know what they are.

Corrections: The exponent at 1:45 should be 2 to the power of n, not 2 times n. The integral shown at 2:53 should have a "dt" at the end, not a "dx". At 4:53 that's not the dimension of the group, but the number of its elements. None of this is relevant to what I say, but sorry about those blunders anyway.

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Michael Berry's essay is here:

https://physicstoday.scitation.org/doi/abs/10.1063/1.1485555?journalCode=pto

The proof that the integral series isn't constant is here:

https://johncarlosbaez.wordpress.com/2018/09/20/patterns-that-eventually-fail/

Sound from ZapSplat.com

Видео What is a Singular Limit? канала Sabine Hossenfelder