For each of the following sequences find the set S of subsequential limit points, the limit superior and limit inferior. Include too as possible limits. (a) (In) = (0, 1,2,0, 1,3,0, 1, 4,...) (b) I, = n(2+ (-1)"). (c) I, = n COS

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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.