За + 19 if x < - 5 Let f(x) Vx + 21 if x > - 5 - 2 if x = - 5 Determine which one of the following rules for continuity is violated at a = - 5. f(a) is defined. lim f(x) exists. x →a lim x → a f(æ) = f(a). None of the above; the function is continuous at x = - 5. -

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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.