# quiz4 - ok(this would be one point per minute which is what...

This preview shows pages 1–2. Sign up to view the full content.

MAT 127: Calculus C Mini-Quiz: Taylor series and interval of convergence DO NOT TURN THIS PAGE OVER YET This mini-quiz is for practice only . It will not be graded or even collected. On the next page, you will find a problem containing four functions. You will need to expand each of them into a power series around the specified center and determine the radius and interval of convergence of the power series. You have 25 minutes to complete the entire problem. The analogous problem on the final will have fewer parts. Taking about 20 minutes on it should be

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ok (this would be one point per minute, which is what you need to average). Thus, you are being asked to complete the mini-quiz at a slightly higher pace than needed For the fnal exam. Find Taylor series expansions of the following functions around the given point. In each case, determine the radius of convergence of the resulting power series and its interval of convergence. (a) f ( x ) = 1 1 + 9 x 2 around x = 0 (b) f ( x ) = x 2 (1-2 x ) 2 around x = 0 (c) f ( x ) = x 3 around x =-1 (d) f ( x ) = e-x/ 2 around x = 0...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern