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1 Limits of Compositions

1.1 Theorem 2.6.2

  1. If as \(x \to a^{\neq}, g(x) \to 0^+\) , then as \(x \to a^{\neq}, \dfrac{1}{g(x)} \to \infty\)
  2. If as \(x \to a^{\neq}, g(x) \to 0^-\) , then as \(x \to a^{\neq}, \dfrac{1}{g(x)} \to -\infty\)