Consider the function f (x) whose graph is shown below. 1 1 + -2 -1 1 3 4 (a) (1pt) Find the following limit: lim f(x). x→1- (b) (1pt) Find the values a such that lim f(x) does not exist. xa (c) (1pt) Find the values a such that f(x) is discontinuous at x = a. (d) (1pt) Find the values a such that f'(a) does not exist.

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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.