Consider the regular subdivision of the interval [a, b] as a = x0 < x1 < x2 < x3 < x4 = b, with the step size h = x+1-X, and define the function f on [a, b] such that f (a) = f(b) = 1, f(x1) %3D 1.5, f(x2) = f(x3) = 2. Suppose that the length of the interval [a, b] is %3D 2, then the approximation of I = f f(x)dx using composite Simpson's rule with n= 4 is: О 5/2 О 53 O 5 O 10/3

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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.