Question: Please help me with this problem and needed all parts clearly and step by step please. Will be highly apprecitaed Problem 2. {Convergenca in measure

Please help me with this problem and needed all parts clearly and step by step please. Will be highly apprecitaed

Problem 2. {Convergenca in measure vs convergence in probability] 1. Show that if X\" } X in probability then X\" + X in law 2. Show that if X\" -} X weakly then f(X) + f(X) weekly for continous f. 3. Shaw that if X.1 } c weakly where c is a. constant, then X\" > X in probability

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