The limit of the following infinite sum can be evaluated using a definite integral. (1+ i) n 4 lim f(x)dx. n3 a In the integral, a = 1 f(x) = 4x3 The limit of the infinite sum is (1 + i) n 4 lim = | f(æ)dæ - n3 a 15

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A: Explained below....

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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.