an Let f be a positive, continuous, decreasing function such that an = f (n) If A which of the following must be true? %3D converges to k, lim a, = k a. n-00 I b. Л f (x) dx converges | f (x) dx diverges с. d. /. f (x) dx = k f (x) dx = k %3D %3D е.

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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.