perplexus.info :: Just Math : Proof

Proof (Posted on 2002-05-29)

Prove that 3.999... = 4

See The Solution Submitted by Half-Mad

Rating: 3.6667 (9 votes)

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re: Illegal Operations

| Comment 37 of 45 |

(In reply to Illegal Operations by Bob)

how about 3.999... = lim(n -> inf) An

where A1 = 3.9, A2 = 3.99, A3 = 3.999, etc.

and since An converges to 4 (a real number), it's valid to say 3.999... = 4

Posted by Josh70679 on 2005-10-20 17:27:21

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