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Abel Sum of Grandiโs Series
We show how an amazing visual proof of the infinite alternating geometric series formula for any positive ratio r with r less than 1 allows us to make sense of one particular Abel sum assignment of a value to a famous divergent series.
Geometric Series Sum Visually
This is a short, animated visual proof demonstrating the infinite geometric series formula for any positive ratio r with r less than 1. This series is important for many results in calculus, discrete mathematics, and combinatorics.
Integrals are the mathematical formalization of finding the exact area under a curve by summing an infinite number of infinitesimally small rectangles.