Consider the following function: - 4 if x < 2 I-2 f(x) = ar - bx +3 if 2 3 Find the values of a and b that make f continuous everywhere. Justify your answer by using the appropriate limits.

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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.