If a,b are positive quantitiesand if a1=...

If a,b are positive quantitiesand if `a_1= (a+b)/2, b_1= sqrt(a_1b,) a_2= (a_1+b_1)/2, b_2= sqrt(a_2b_1` and so on show that `Lt_(nrarroo) a_n =Lt_(nrarroo) b_n = (sqrt(b^2-a^2))/(cos^-1 (a/b))`

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