Sketch the graph of g(x) that is continuous over all real numbers except at x = -3 and x = 2. The graph has a removable discontinuity at x = -3 and a jump discontinuity at x = 2. g(-3) is undefined and g(2) = 3.

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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.