Put t=nx. Then f_n′=t²e⁻ᵗ(3−t)/n, uniformly bounded in n and x because a polynomial times e⁻ᵗ is bounded. Thus the family is uniformly Lipschitz and equicontinuous. For n≥3, the maximum is at x=3/n and equals 27e⁻³/n². The convergent sum of these bounds proves uniform convergence by the Weierstrass test. P true, Q false, **B**.
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