Explicit form:
y1/n = xRecursive form:
xk+1 = (xk + y / (xk)n-1) / 2Example: 21/3 = 1.259921049894...where y ³ 0 and n > 0
or y Î Â and n is odd, positive, and integer.
(for negative n, evaluate the above formula with n positive, then invert your answer).
iteration value x0 1.0000000000 x1 1.5000000000 x2 1.1944444444 x3 1.2981416381 x4 1.2424821566 x5 1.2690093603 x6 1.2554742937 x7 1.2621680807 x8 1.2588035314 x9 1.2604812976 x10 1.2596412994 x20 1.2599207765 x50 1.259921049894 x 1.259921049894...
![[infinity]](px/inf.gif){kind=small}
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