For what values of a and b will f(x) be continuous on everywhere at x = 2 if the function is x2 -4 x< 2 x - 2 ax? - bx +3 f(x) = 25x<3 2x - a + b x 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.