If f is increasing on [a, b] then, for any r in (a, b), f'(¤) exists and is strictly positive Select one: a. False O b. True Clear my choice Let f be a function defined on the interval [a, b]. If f is increasing, then f is continuous. Select one: O a. False O b. True Clear my choice

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Q: Question 3 Let f: A → B and g: BC be functions. If gf is one-to-one, prove that f is one-to-one.

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Q: lim f(x, y) = f(a, b). (x,y)→(a,b) If f is a rational function, then Select one: True False

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Q: Which of the following statements must be true for a function that is concave up everywhere?

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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.