(All Steps) Let f(x) = x^2 for x rational, let f(x) = 0 for x irrational, and let g(x) := sin x for x ∈ R. Use Theorem 6.3.1 to show that lim F(x)/g(x)


Question: Let f(x) = \({{x}^{2}}\) for x rational, let f(x) = 0 for x irrational, and let g(x) := sin x for x \(\in \) R. Use Theorem 6.3.1 to show that lim F(x)/g(x) = 0 as x approaches to 0.

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