Given the following piecewise function, demonstrate how to determine if f(x) is continuous on the interval (-6, 6). If it is not continuous, write the intervals of continuity for the function on the interval (-6, 6). f(x) = { -3x + 2 x < -2 f(x) = { 2x + 12 -2 ≤ x ≤ 5 f(x) = { x2 - 2 x > 5

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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.