The following figure shows the graph of the derivative f`of a function f, where f is continuous on the interval [0, 4] and differentiable on the interval (0, 4). Which of the following statements give the correct ordering of the function values f(0), f(2), and f(4)? a) f(0) < f(4) b) f(4) < f(2) c) f(2) ≤ f(0) d) f(4) = f(2)

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A: Please refer the attached image for complete solution. THANK YOU.

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.