Let X1, ...,Xn, ... and Y1, ...,Yn, ... be asequenceofreal-valued random variablessothat plimn Xn = 0 and

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Let X1, ...,Xn, ... and Y1, ...,Yn, ... be asequenceofreal-valued random variablessothat plimn→∞ Xn = 0 and |Yn| ≤ C, where C is apositive constant. Showthat plimn→∞ XnYn = 0.

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