a) Prove the following: Squeeze Theorem : Let f, g, h: A R be functions with...

 

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a) Prove the following: Squeeze Theorem : Let f, g, h: A R be functions with domain A CR. Suppose f(x) <g(x) <h(x) for all x E A, and that lim f(x) = lim h(x) = l. Then lim, pa 9(x) = l. b) Use the Squeeze Theorem to show lim (x sin = 0. a) Prove the following: Squeeze Theorem : Let f, g, h: A R be functions with domain A CR. Suppose f(x) <g(x) <h(x) for all x E A, and that lim f(x) = lim h(x) = l. Then lim, pa 9(x) = l. b) Use the Squeeze Theorem to show lim (x sin = 0.