Question: Problem 8.2.4. Use Theorem 8.2.1to show thatTheorem 8.2.1. The function fis continuous ataif and only iffsatisfies the following property:AA sequences (xn),iflimnxn=a then limnf(xn)=f(a).D(x)={x,ifxisrational0,ifxisirrationalis not continuous

Problem 8.2.4. Use Theorem 8.2.1to show thatTheorem 8.2.1. The function fis continuous ataif and only iffsatisfies the following property:AA sequences (xn),iflimnxn=a then limnf(xn)=f(a).D(x)={x,ifxisrational0,ifxisirrationalis not continuous ata0.

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