Quiz3 for Thu Feb 11-Taylor - [1/2 Taylor Series Quiz...

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3/15/2016 [1/2] Taylor Series - Quiz: Taylor - RELATE https://relate.cs.illinois.edu/course/cs357-sp16/flow-session/86643/0/ 1/1 Taylor Series We have seen in HW1 that a function defined by an infinite series can sometimes be approximated well with a truncated finite series. In HW1, this was shown for the exponential function We are exploring the same concept in HW2, but with the function. Some important questions to answer are: Is special, in that a finite series approximation worked well and will this work for ? In general, is there a class of functions that this will always work for? How do we derive a finite series approximation if we are not given the infinite series (e.g. the function given above)? The answers to these questions lie in understanding the Taylor Series expansion. Read the Intro, Definition and first-half of the section on Analytic functions for Taylor Series . Then answer the following question. You may also want to recall the definition of a Power Series .
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