Determine a value of m (if possible) for whichf is continuous at x = 4. mx-32 if x<4 f(x) = 2x if x24 Choose the correct answer below and, if necessary, fill in the answer box within your choice. O A. m 3D O B. f'(4) exists for any chosen value of m. O C. There is no value of m for which f (4) exists.

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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.