aab angway. 9) a, b EIR and f: (0.1) (a.b) X f(x) = a+ (b-a) X, for tx E (o, 1), Show that the fonction f. which is defined as, is (F(x) =a+ (b-a)X) One to on e and Coversug Cun b) Do intervals (01) an d inter vals (a,b) have the Same Streng th ? why is that? 3.

Q: is continuous at x=3, f (-1) =6 ? + a, x # 3 3b, x 3 ontinuous at x=2? - x > 0

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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.