{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

2224Test3AReview - MATH 2224 PRACTICE PROBLEMS FOR...

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

View Full Document Right Arrow Icon
MATH 2224: PRACTICE PROBLEMS FOR TEST #3 (Set 1) 1. Find the interval of convergence of each of the following power series (open interval only): a. n n 1 n n 2 n ) 2 x ( ) 1 ( ! ! " # = b. " # = + ! 0 n n 1 n ) 2 x 3 ( 2. For the series " # = 1 n 3 n 1 find the first three terms of the sequence of partial sums associated with the series. 3. Rewrite as a triple integral in rectangular coordinates: $ % & % % & ’ ’ ( ( % d d d cos sin 2 0 2 / 0 cos 4 0 3 4. Find the sum of the geometric series: " # = ) * + , - . 1 n n 4 3 2 5. Use the definition of convergence to find the exact sum of the series " # = / 0 1 2 3 4 + ! + 1 n 1 n 2 1 3 n 2 1 . (Your answer should show that you know the definition of what it means for a series to converge.) 6. Does the sequence 5 6 7 8 9 : + 1 n n ln converge? If so, to what? Use the definition of convergence to show whether or not the series " # = + 1 n 1 n n ln converges. (Note: i.e., consider n n S lim # ; ) 7. Find the value of m for which the geometric series ! + ! + ! 27 m 2 9 m 2 3 m 2 2 3 2 converges to 5.
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern