Argue that Given a continuous function g defined on [0, 1] define functions G₂(2) = 9 (-) (*)2² (1-2)*-* : G₁(1)→ g(x), as n→ ∞o. You may use the following fact: it can be shown that the strong, almost sure convergence of a sequence of random variables Y₁, Y2,..., to a constant c (i.c., Y₂ →c, a.s.) implies E[ƒ(Y₂)] → f(c), as n →∞o for all continuous bounded functions f.

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