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Vectors, Maclaurin and Taylor Series and Radius of Convergence (18 Problems)

Please assist me with the attached problems, including:

1. Sketch each vector

2. Find the standard representation and length of each vector

3. Maclaurin and Taylor Series and Radius of Convergence
See attachment for complete list of questions. Thanks.

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Eighteen problems involving Vectors, Maclaurin and Taylor Series and Radius of Convergence are solved. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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