Explain why the function is discontinuous at the given number a. (Select all that apply.) 1 f(x) a = -3 X + 3 f(-3) is undefined. lim f(x) does not exist. X→-3 f(-3) and lim f(x) are finite, but are not equal. X→-3 lim f(x) and lim f(x) are not finite, and are not equal. X→-3+ X→-3- none of the above O O O O O

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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.