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 Author Comment/Response hieron 04/23/13 2:45pm hi check out this: an approximation done by SeriesCoefficient, verify !!! Saying: (* b x^0 + c x^1 + d x^2 approximates (a+x)^(1/2) *) Approximating: {b, c, d} = SeriesCoefficient[(a + x)^(1/2), {x, a, #}, Assumptions -> Element[a | x, Reals] && 1 >= a >= 0 && 1 >= x >= 0] & /@ {0, 1, 2} {Sqrt[2] Sqrt[a], 1/(2 Sqrt[2] Sqrt[a]), -(1/(16 Sqrt[2] a^(3/2)))} b x^0 + c x^1 + d x^2 // Evaluate Sqrt[2] Sqrt[a] + x/(2 Sqrt[2] Sqrt[a]) - x^2/(16 Sqrt[2] a^(3/2)) cheers hieron URL: phimath.net,

 Subject (listing for 'Approximating (a+x)^0.5 using specific set of f...') Author Date Posted Approximating (a+x)^0.5 using specific set of f... Ofer 04/23/13 11:11am Re: Approximating (a+x)^0.5 using specific set ... Bill Simpson 04/23/13 1:46pm Re: Approximating (a+x)^0.5 using specific set ... hieron 04/23/13 2:45pm
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