Select Function 2, f(x) = Vx, under the Explore & Test section of the Explore It. (a) According to the e-8 definition of the limit, if lim Vx = 2 and ɛ = 0.9, there is a value of 8 for which |x – 4| < 8 implies lVx - 2| < e. What is the maximum X→4 value of 8, for which this is true? 8 = (b) Would this value also work for 8,? Yes No If not, what is the maximum value of 8, for which 4 – x < 8, would ensure |Vx – 2| < ɛ? (If it does work, enter the value in the blank below.) 1 81 = (c) What value of 8 should you choose in order for |Vx - 2| < e whenever |x – 4| < 8? 8 = %3D

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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.