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The iterative process an = (an + 3bn/4, bn+1 =(√anbn+bn)/2 is studied in detail. The limit of this quadratically converging process is explicitly identified, as are the uniformizing parameters. The role of symbolic computation, in discovering these nontrivial identifications, is highlighted

On the mean iteration (𝑎,𝑏)←((𝑎+3𝑏)/4,(√𝑎𝑏+𝑏)/2)