Let A be the area under the graph of an increasing continuous function f from a to b, and let L, and R, be the approximations to A with n subintervals using left and right endpoints, respectively. Assume the following. b - a R, - A< If A is the area under the curve y = ex from 1 to 5, use the upper bound for R, - A above find an integer value of n such that R, - A< 0.0001. n = 58272000

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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.