let $K_1= \overline {D(2,1/2)}\ \cup \overline {D(-2,1/2)}\ $ and $K_2=\overline {D(2i,1/2)}\ \cup \overline {D(-2i,1/2)}\ .$
Is there a sequence $P_n$ of polynomials such that $Pn \to 1$ uniformaly on $K_1$ and $P_n \to -1$ uniformaly on $K_2$ ??
let $K_1= \overline {D(2,1/2)}\ \cup \overline {D(-2,1/2)}\ $ and $K_2=\overline {D(2i,1/2)}\ \cup \overline {D(-2i,1/2)}\ .$
Is there a sequence $P_n$ of polynomials such that $Pn \to 1$ uniformaly on $K_1$ and $P_n \to -1$ uniformaly on $K_2$ ??
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