22. Domain: All real x, except x = -1 and x = f(-2) = 1,f(0) = 0, f(2) = 1; age umber. f'(x) > 0 on (-∞, –1) and (0, 1); f'(x) < 0 on (-1,0) and (1, ∞); f"(x) > 0 on (-∞, –1), (-1, 1), and (1, ); vertical asymptotes: x = -1 and x = 1; horizontal asymptote: y = 0 ep 000 70

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Q: ) Suppose f (x) is continuous on [0, 2] and differentiable on (0,2). Suppose f (0) = 3 and f (2) =…

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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.