Calculus and Abbott and Costello

Calculus, Elementary, Humor 1 Minute

Although n + 30 > n for all n, it’s also true that

\displaystyle \lim_{n \to \infty} \frac{n+30}{n} = 1.

That’s the subtle mathematical premise behind this classic comedy routine from Abbott and Costello. (This routine was the basis of a recent article in The College Mathematics Journal.)

Published by John Quintanilla

I'm a Professor of Mathematics and a University Distinguished Teaching Professor at the University of North Texas. For eight years, I was co-director of Teach North Texas, UNT's program for preparing secondary teachers of mathematics and science.

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