cos(2x) Let f(r) = and g(x) = VT. VI. 2.x2 Which of the following statements are true? I. lim g(f(x)) = 1 II. lim g(f(r)) = -1 III. lim g(f(x)) exists.

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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.