The graph of the function f is above. At what x= a value(s) in the interval (-2, 5) does a. lim f(x) fail to exist? b. The function f fail to be continuous? c. The function f fail to be differentiable?

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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.