Solve it step
by step and please with clear handwritten. Be ready to follow the
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Integrability
Topic
Question1. Let g : [0,
1] —> R be defined by if x=0, g(x)=1;
if x=m/n (m and n are positive integer with no common
factor), g(x)=1/n; if x doesn't belong to rational
number, g(x)=0
Use the sequential
criterion for continuity to prove that g is discontinuous at every
rational number in[0,1]
Question.2 g is
continuous at any irrational point in[0,1]. Explain...