thank you for the effort. This is the only

example I have ever known that when you try to find the limit of a sequence, it will give you a false solution even you follow the right steps.  lna=(lnx)/x will have two solution when a is in (1,e^(1/e)).  The bigger one is not the solution.  Another example is (10^.1)^(10^.1)...

If we solve for x=(10^.1)^x, 10 is one of the solution.  But 10 is not the limit of the sequence.  The right limit is about 1.2.

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• Thanks,you are right. A old want to say....why the big one is no -jinjing- ♀ (302 bytes) () 01/21/2011 postreply 10:53:30

• I also found another example that taking a limit -yma16- ♂ (373 bytes) () 01/21/2011 postreply 17:42:54