Consider a function that is piecewise - defined according to the formula (x + 2) + 1 for - 1 1 4-x Use the given formula to answer the following questions. For each of the values a = -1,0,1,2, compute f(a). b. For each of the values a = -1,0,1,2, determine lim_f(x) and limf(x). а. | | bxat c. For each of the values a = -1,0,1,2, determine lim f(x). If the limit fails to exist, 232

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Q: Graph the piecewise function defined by

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Q: Consider the piecewise function if x 2 .2 x-4

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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.