For the function f (x) =+ V1 +x - 3, find a, b ER such that f(a)f(b) < 0. Does 1+x there exists a root(zero) for the function f (x) in the interval [a, b], justify your conclusion. Also find the value of a c that satisfy the equation f(b) – f(a) = f'(c) %3D b - 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.