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# <math>X_n \ \xrightarrow{\!\!as\!\!}\ X \quad\Rightarrow\quad g(X_n)\ \xrightarrow{\!\!as\!\!}\ g(X).</math>
==Proof <ref>This proof has been adopted from {{harv|van der Vaart|1998|loc=Theorem 2.3}}</ref>==
===Convergence in distribution===
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