15 10 5 Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.) (-00, -2)(2,00) Identify any discontinuities. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X%3D If the function has any discontinuities, identify the conditions of continuity that are not satisfied. (Select all that apply. Select each choice iffit is met for any of the discontinulties.) O There is a discontinuity at x = c where f(c) is not defined. O There is a discontinuity at x = c where lim f(x) # f(c). O There is a discontinuity at x = c where lim f(x) does not exist. There are no discontinuities; f(x) is continuous.

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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.