Suppose F: R2 Ris a function of class C1. Call S = F-({0}). Define A CSto be the set of all critical points, p, of F which also satisfy F(p) = 0. Define BC S to be the set of all points p in S such that for any open neighbourhood UCR? of p, Sn U cannot be described as the graph of a C1 function. Which of the following correctly describes the relationship between A and B by the implicit function theorem? O ACB O AÇB O BCA O BÇA O A = B O None of the above.

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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.