The table below gives for the value of continuous function f at each x-value. Using the Intermediate Value Theorem and the information in the table, determine the smallest interval in which the function must have a root. x f(x) −5 1.25 −4 −1.03 −3 −3.05 −2 −4.01 −1 −4.02 0 −4.69 1 −4.43 2 −5.45 3 −0.76 4 −4.93 5 −9.93 Answer in interval notation.

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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.