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Proof (Posted on 2002-05-29) Difficulty: 3 of 5
Prove that 3.999... = 4

See The Solution Submitted by Half-Mad    
Rating: 3.6667 (9 votes)

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Solution By Calculus | Comment 43 of 44 |
(In reply to A Different Method by K Sengupta)

We observe that:

3.999....= 4 - x, where
x = (limit n -> infinity) (1/10^n)
= (limit m -> - infinity) (10^m), where m = -n
= 0

Consequently, 3.999... = 4 - 0 = 4

Edited on November 14, 2007, 2:12 pm
  Posted by K Sengupta on 2007-11-14 03:57:50

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