a. If f is continuous, then ſ f(x) dx = lim ſ´, f(x) dx. t-00 b. If f(x) < g(x) and g(x) dx diverges, then ," f (x) dx also diverges. x²-4 B с. x(x2+4) can be put in the form4+ x2+4 d. If f f(x) dx and f* g(x) dx are both convergent, then S"If (x) + g(x)] dx is convergent.

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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.