MATH 281 - CALCULUS III ASSIGNMENT #2 DUE DATE: JUNE 6, 2017 INSTRUCTIONS: Answer all questions showing all working so as to obtain full marks Question 1 Determine the Maclaurin series for Question 2 The series xn n 1 n f ( x) x sin x . (10 marks) is convergent on what interval? (10 marks) Question 3 For what values of x does the approximation ln( 1 x) x have an error of less than 0.01? (10 marks) Question 4 What are all the values of x for which the series n 0 1 n x n converges? (10 marks) 3n Question 5 1 n 1 n( n 1) Question 6 (10 marks) \f\f