Show that as n→∞, the pdf of a Student t random variable with n df converges to f_Z (z). (To show that the constant term in the pdf for T_n converges to 1/√2π, use Stirling’s formula, n! .= √2πn nⁿe⁻ⁿ)

Also, recall that  (1 + a/n)ⁿ = e^a.

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