Gauss–Legendre algorithm: Difference between revisions

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== Mathematical background ==
 
=== Limits of the arithmetic-geometricarithmetic–geometric mean ===
 
The [[arithmetic-geometricarithmetic–geometric mean]] of two numbers, a<sub>0</sub> and b<sub>0</sub>, is found by calculating the limit of the sequences
 
:<math>\begin{align} a_{n+1} & = \frac{a_n+b_n}{2}, \\