If one of the focii of ellipse is moved to infinity, then how it becomes a parabola?

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Eccentricity of Parabola is 1. Eccentricity of ellipse is <1. i.e. FP / PM = 1 for parabola. Then how an ellipse will become a parabola if F1P / PM =e<1 if F1 is any one of its focus?