{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MATH111-200530-PS10

# MATH111-200530-PS10 - MATH111-002 200530 Problem Set 10...

This preview shows page 1. Sign up to view the full content.

MATH111-002 200530 Problem Set 10 Edward Doolittle You do not need to hand this one in! You do not need to hand in this problem set! It is provided to help you study for the final exam. 1. (2 marks) Find the radius of convergence and interval of convergence of the following power series. (a) n 0 x n n 1 (b) n 1 x n 3 n ln n 1 (c) n 0 1 n x 2 n n ! (d) n 1 3 x 1 n n 1 2 n 2. (3 marks) Find the Maclaurin series for each of the following functions using the definition of Maclaurin series. (a) f x cos2 x (b) f x e 3 x (c) f x 1 1 x 2 (d) f x e x 1 (e) f x e x e x (f) f x xe x 3. (1 mark) Sum five terms of a Maclaurin series to derive an approximation to e 0 2 . Compare with the value given by your calculator. 4. (1 mark) Use a Maclaurin series derived in the textbook to obtain a Maclaurin series for the given function. (a) f x sin x 2 (b) f x xe x (compare with 2f) 5. (1 mark) Find the Taylor series for f x
This is the end of the preview. Sign up to access the rest of the 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