Chapter 2: Problem 54
Assume the functions \(f, g,\) and \(h\) satisfy the inequality \(f(x) \leq g(x) \leq h(x)\) for all values of \(x\) near \(a\) except possibly at \(a\). Prove that if \(\lim _{x \rightarrow a} f(x)=\lim _{x \rightarrow a} h(x)=L\), then \(\lim _{x \rightarrow a} g(x)=L\).
Short Answer
Step by step solution
Key Concepts
These are the key concepts you need to understand to accurately answer the question.