b) Suppose h is continuous on R and h(q) = 0 for every rational number q. Does it follow that h(x) = 0 for all x ∈ R? Justify your answer!

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A: According to the given information, it is required to tell whether the statement is true or false.

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Q: Define f(x) = x² for all x. Verify the e-8 criterion for continuity at x = 2.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.