Let f(x) = ⌊x⌋ + ⌊−x⌋ where ⌊x⌋ is the least integer function i.e. for a given input x it returns the closest integer which is less than or equal to x. Evaluate the following: a) f(2) b) limx→2 f(x)

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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.