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One Equals Two (Posted on 2003-08-22) Difficulty: 3 of 5
Given 'x' not equal to 0, let us consider the follwoing relation:

x + x + x + .... +x (added 'x' times) = x

Differentiating both sides with respect to x, we get:

1 + 1 + 1 + 1 + .... + 1 ('x' times) = 2x

(Since the derivative of x with respect to 'x' is 2x).

So we now have:

x = 2x

Cancelling 'x' from both sides, we have:

1 = 2

Now the very obvious question follows:

Where is the flaw ?

See The Solution Submitted by Ravi Raja    
Rating: 3.1667 (6 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsGeneral CaseK Sengupta2007-09-26 06:37:27
Some ThoughtsAdditional ConsiderationK Sengupta2007-09-26 06:36:05
SolutionPuzzle SolutionK Sengupta2007-09-26 06:34:59
took a bitJak Dakars2005-03-25 22:04:58
actuallybob9092004-09-21 13:42:52
spelling mistakeBilly Bob2004-04-10 21:29:41
easy explanationjonnyw762003-09-28 20:53:12
Flaw in the ProgramJohnE2003-08-22 12:31:41
SolutionflawsCharlie2003-08-22 08:43:50
SolutionI think I've got it...Your buddy2003-08-22 08:40:55
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