I am conjecturing that $$p\lim(E(x_n))=E(p\lim(x_n))$$ I tried to prove it using the delta-epsilon definitions, but it became very messy, and I couldn't do it.
How do we prove this?
2026-03-30 20:51:46.1774903906
Is it true that $p\lim(E(x_n))=E(p\lim(x_n))$?
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