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8.6#3
Hi Dr. Taylor,
When working on this problem I am absolutely stumped on what to do. This is because every other coefficient is zero but no part of the problem suggests this is the case.
When working on this problem I am absolutely stumped on what to do. This is because every other coefficient is zero but no part of the problem suggests this is the case.

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To find the radius of convergence this problem needs the same trick I used in class on Wednesday to talk about the Taylor series of cos(x). You should write the sum as ∑c_{2n}(x^2)^n, which you can do because all of the coefficients c_n with n an odd integer are zero, so you can just leave them out. Then the ratio test looks at the limit of (| c_{2n+2} x^{2n+2} |)/(| c_{2n} x^{2n} |).
To find the radius of convergence this problem needs the same trick I used in class on Wednesday to talk about the Taylor series of cos(x). You should write the sum as ∑c_{2n}(x^2)^n, which you can do because all of the coefficients c_n with n an odd integer are zero, so you can just leave them out. Then the ratio test looks at the limit of (| c_{2n+2} x^{2n+2} |)/(| c_{2n} x^{2n} |).
Tuesday, April 2, 2019
Wednesday, March 27, 2019
Tuesday, March 26, 2019
Monday, March 25, 2019
Invitation from Associate Dean Fabio Milner
Armstrong Hall, Office 285
P: 480/965-5877 | F: 480/965-1093
milner@asu.edu
URL: https://clas.asu.edu/content/fabio-milner
The School of Mathematical and Statistical Sciences at ASU has agreed to participate in the NSF-MAA study, Progress through Calculus. You can click the following link to learn more about the project:
http://www.maa.org/programs/faculty-and-departments/curriculum-development-resources/national-studies-college-calculus/ptc-project-description
Representatives of the project will be visiting our campus one final time April 2nd and 3rd. I am writing to encourage your participation. In particular, We would like to ask if you are willing to participate in a 1-hour MAT 266 student focus group. Please contact Prof. Milner (fmilner@mainex1.asu.edu) by Friday March 29 at 1:00 PM with your availability on April 2 and 3. Your participation will help improve the way we teach precalculus and calculus at ASU.
Thanks so much in advance you for your help,
Fabio Milner
Director of Mathematics for STEM Education””
P: 480/965-5877 | F: 480/965-1093
milner@asu.edu
URL: https://clas.asu.edu/content/fabio-milner
The School of Mathematical and Statistical Sciences at ASU has agreed to participate in the NSF-MAA study, Progress through Calculus. You can click the following link to learn more about the project:
http://www.maa.org/programs/faculty-and-departments/curriculum-development-resources/national-studies-college-calculus/ptc-project-description
Representatives of the project will be visiting our campus one final time April 2nd and 3rd. I am writing to encourage your participation. In particular, We would like to ask if you are willing to participate in a 1-hour MAT 266 student focus group. Please contact Prof. Milner (fmilner@mainex1.asu.edu) by Friday March 29 at 1:00 PM with your availability on April 2 and 3. Your participation will help improve the way we teach precalculus and calculus at ASU.
Thanks so much in advance you for your help,
Fabio Milner
Director of Mathematics for STEM Education””
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