Tag Archive for: geometric series

The Sum of Geometric Series from Probability Theory

The Sum of Geometric Series from Probability Theory

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12 Comments
Here I present a simple (but to the best of my knowledge, new) derivation of the formula for the sum of the infinite geometric series. The derivation is…
999equals1

Why 1 = 0.999…: Four Simple Proofs Explained

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111 Comments
Yes, 1 and 0.999... are exactly the same real number, not merely two numbers that happen to be extremely close. This surprises many people because 0.999...…
999

Is 1 Equal to 0.999…? Rigorous Proof Explained

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101 Comments
Yes, 1 equals 0.999... exactly, not approximately. This is a proven mathematical fact once the notation 0.999... and the concept of an infinite sum are…