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  3. a) use the sequential definition of continuity to

a) use the sequential definition of continuity to prove that f(x)=|x| is continuous. b) theorem 17.3 states that...

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Advance Math

a)use the sequential definition of continuity to prove that f(x)=|x|is continuous.

b) theorem 17.3 states that if f is continuous at x0, then |f|is continuous at x0. is the converse true? if so, prove it. if notfind a counterexample.

hint: use counterexample

Answer & Explanation Solved by verified expert
4.5 Ratings (701 Votes)
a Let fx be continuous at any point cThen there exists a sequence converging to such that the sequence converges to Then by    See Answer
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