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If sqrt((3+sqrt5)/2),sgn(x^2-3x+4) and ...

If `sqrt((3+sqrt5)/2),sgn(x^2-3x+4) and 2{[2/(3+x^2)]+sin(pi/10)}, x in R`are the first three consecutive terms of G.P. and sum of its infinite terms is `lambda/(sqrt5-1)^3`, then find the value of `lambda`.

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