Suppose that a function f(x) is defined for all real values of x except at x= c. Can anything be said about the existence of lim f(x)? Give reasons for your answer. O A. Nothing can be said about the existence of the limit. The function might approach the same value from both sides, or it might jump or oscillate as xc. O B. At x= c, lim f(x) exists, and its value is the average of the values obtained as x approaches c from the right and from the left. O C. At x= c, lim f(x) does not exist because the function is undefined at the point x=c. O D. At x= c, lim f(x) does not exist because it is likely that the function oscillates or jumps at that point.

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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.