Let f be a differentiable function and let L be the linearfunction L(x) = f(a) + k(x a)
Chapter 3, Problem 50(choose chapter or problem)
Let f be a differentiable function and let L be the linearfunction L(x) = f(a) + k(x a) for some constant a.Decide whether the following statements are true or falsefor all constants k. Explain your answer.(a) L is the local linearization for f near x = a,(b) If limxa(f(x) L(x)) = 0, then L is the local linearizationfor f near x = a.
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