x-1 Consider the function f (x) =-2+ |æ-1| a. What is the domain of the function? Write the solution in a complete sentence. You may use either set builder notation or interval notation. b. Graph the function, and clearly label open and closed points. c. Find lim,1- [f (x)] · This should read "Find the limit of f(x) as x approaches 1 from the left." For some reason, the superscript to the right of one is not appearing. d. Find lim,1+ [f (x)] . e. Find lim. →1 [f (x)]

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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.