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Consider the function f(x) = .
(a) Find and sketch f(x) and the tangent line approximation to f(x) near x = 4.
(b) Compare the true value of f(4.1) with the value obtained by using the tangent line approximation.
(c) Compare the true and approximate values of f(16).
(d) Using a graph, explain why the tangent line approximation is a good one when x = 4.1 but not when x = 16.
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