Question: 4 (i) (Slutzky's theorem) Let C1, C2, ... be real-valued random variables and c E R be a deterministic constant such that On -> c.

4 (i) (Slutzky's theorem) Let C1, C2, ... be real-valued random variables and c E R be a deterministic constant such that On -> c. Assume Y, Y1, ... are real-valued random vari- ables such that Yn => Y. As n -> co, show that On + Yn = c+ Y and CRY, => CY
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