138assgn9

# 138assgn9 - MATH 138 Assignment 9 Spring 2009 Power...

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

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: MATH 138 Assignment 9 Spring 2009 Power series (part II). Taylor series Submit all problems marked (*) by 4:30 p.m. on Monday , July 20. 1. Find the power series representation for the function and determine the interval of convergence. (a) ( * ) f ( x ) = 3 1- x 4 . (b) ( * ) f ( x ) = 1 x +10 . (c) f ( x ) = x 2 x 2 +1 . (d) f ( x ) = 1+ x 1- x . (e) ( * ) f ( x ) = x 2 a 3- x 3 . (f) f ( x ) = x 2 (1- 2 x ) 2 . (g) ( * ) f ( x ) = arctan( x/ 3). 2. Express the function as the sum of a power series by first using partial fractions. Find the interval of convergence. (a) f ( x ) = 3 x 2- x- 2 . (b) ( * ) f ( x ) = x +2 2 x 2- x- 1 . 3. (a) Find a power series representation for f ( x ) = ln(1+ x ). What is the radius of convergence? (b) ( * ) Use 3a to find a power series for f ( x ) = x ln(1+ x ). What is the radius of convergence? (c) ( * ) Use 3a to find a power series for f ( x ) = ln( x 2 + 1). What is the radius of convergence?...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

138assgn9 - MATH 138 Assignment 9 Spring 2009 Power...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online