5. Let f(x) = Vx. %3D (a) Show that f is uniformly continuous on [0,0). (Hint: Use Problem 9 of Exercise Set 1.3.) (b) Show however that there does not exist a constant M such that |f(x) – f(x')|

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A: we have given that f(x) is continuous on[2,7].

Q: are defined c chy's mean

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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.