f(x)=_ x', x<4 (5x-4,x>4 (a) Compute the limits lim f(x)=? x→4* lim f (x)=? X x→4 (b) Is f(x) continuous at x = 4? Support your answer. No credit for just “yes/no" answer

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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.