b) Describe the points at which the function describes the different pieces of the function. c) Is the function continuous at x=2? Show your work and explain your answer. d) Is the function continuous at x=4? Show your work and explain your answer. e) Describe an interval for which the function is continuous and explain your answer.

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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.