Is there a value of n that will make the following function continuous at x = 0? Give reasons for the answer. sin 18x x#0 f(x) = n, x = 0 Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. There is a value of n that makes the function continuous at x= 0 because lim f(x) = sin218x exists and is equal to n = (Type an exact answer, using radicals as needed.) OB. There is no solution because lim f(x) = sin218x exists, but is not a real number. С. sin218x There is no solution because lim f(x) = 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.