By means of an example, show that Xn X if and only if, for every {n'}( {n},

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By means of an example, show that Xn X if and only if, for every {n'}( {n}, there exists a further subsequence {n''} ( {n'} such that Xn''X and any two limiting r.v.s are a.s. equal.

By means of an example, show that Xn  X
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