Allowing "y" to be 1, the square root of y is 1.
Under the innermost radical the value is 2.
Stepping through to the next radical we carry through
the sq. root of 2 and so have a value of 2.4142...
The value of the radical nest comes out at 1.55377..
With the subtraction of single y radical we achieve a
value of 0.55377.....
As we increase the value of y the nested group increases
but so does the single y radical. While its value closes
upon the nested group, the expression will only equal 0.5
in the defined limit.
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Posted by brianjn
on 2008-05-24 22:00:33 |