Question: limit() with signum() output?

restart;
local gamma;

A := -sigma__v^2*(((-2*gamma^2*sigma__d^4*sigma__e^4 - 16)*sigma__v^6 + (-6*gamma^2*sigma__d^4*sigma__e^6 - 4*gamma^2*sigma__d^2*sigma__e^4 - 48*sigma__e^2)*sigma__v^4 - sigma__e^4*(gamma^4*sigma__d^6*sigma__e^6 + 4*gamma^2*sigma__d^4*sigma__e^4 + 8*gamma^2*sigma__d^2*sigma__e^2 + 48)*sigma__v^2 - 4*gamma^2*sigma__d^2*sigma__e^8 - 16*sigma__e^6)*sqrt(gamma^2*sigma__d^2*sigma__e^4 + 4*sigma__e^2 + 4*sigma__v^2) + (2*sigma__d^2*sigma__v^8 + (12*sigma__d^2*sigma__e^2 + 8)*sigma__v^6 + 2*(12 + gamma^2*sigma__d^4*sigma__e^4 + sigma__d^2*(gamma^2 + 13)*sigma__e^2)*sigma__e^2*sigma__v^4 + 8*(3 + gamma^2*sigma__d^4*sigma__e^4 + sigma__d^2*(gamma^2 + 6)*sigma__e^2/2)*sigma__e^4*sigma__v^2 + sigma__e^6*(gamma^2*sigma__d^2*sigma__e^2 + 4)*(gamma^2*sigma__d^4*sigma__e^4 + 2*sigma__d^2*sigma__e^2 + 2))*sigma__v^2*gamma*sigma__d)*sigma__d/(4*(sigma__e^2 + sigma__v^2)^2*(gamma^2*sigma__d^2*sigma__e^4 + 4*sigma__e^2 + 4*sigma__v^2)^2);

A__0 := limit(A, gamma = 0);
A__inf_wo_assumptions := limit(A, gamma = infinity);
A__inf_with_assumptions := limit(A, gamma = infinity) assuming 0 < sigma__e, 0 < sigma__v, 0 < sigma__d;