(6) Determine whether Rolle's Theorem can be applied to f on the closed interval La.6]. If Rolle's Theorem can be applied, find all values of c on the open interval (4.b) such thats(c) = 0 . If Rolle's Theorem cannot be applied, explain why not. (i) f (x) = x² – 4x +1, [0,4] (ii)f (x) = sec x,[-A ,A]

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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.