Mathematics Asked by MeThodCl on January 24, 2021
If $A_nrightarrow A$, show that $(A_n cup B) rightarrow (A cup B)$.
My attempted solution used $lim inf(A_n cup B)$ and lim sup but I’m not sure how to proceed.
Hint
Define
$$ C_n=(A_ncup B)-(Acup B)\ D_n=(Acup B)-(A_ncup B) $$ and prove that $C_nto emptyset$ and $D_nto emptyset$.
Answered by Mostafa Ayaz on January 24, 2021
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