Hyperbola: two focuses of x ^ 2 / A ^ 2-y ^ 2 / b ^ 2 = 1 (a > 0, b > 0) are F1, F2, P are a point on the hyperbola, and Pf1 = 3PF2, then the value range of eccentricity

PF1-PF2=2a
Pf1 = 3A, PF2 = a, the sum of two sides is greater than the third side, 4A = PF2 + Pf1 > F1F2 = 2c, E1, so 1

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