Hallo, I need a tight and simple approximation of the following formula:

f(x,y,a) = (1 + x/(x+y))^(1-a),

for real a>0; and positive integer x,y, where x y for y < treshold (e.g. B/10)

Taylor series with higher order polynomial would be a tight approximation. However I need a simple approximation formula to resolve it to y (i.e. not more than 2nd order polynomial).

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