(c) Use part (b) to show |f(2)| zn+1 Ar + B on Yr pn+1 (d) Use part (b) and the Basic Integral Bound to show 1 |cn| = 2ni f(2) dz zn+1 Ar + B sn (e) Now take a limit as r → o to show c, = 0 for n> 2. Why doesn't this work for n = 1? %3D

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A:

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A:

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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.