MAT136H1 Lecture Notes - Partial Fraction Decomposition, Partial Function

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Question #2 (medium): interval of convergence for partial fraction function. For partial fractions, consider each partial fraction as a separate geometric series, then determine the interval of convergence for each. Then put together as a whole, chose the one that works for all of the partial fractions. Express the function as the sum of power series by first using partial fractions. Remembering how to do partial fractions, first factor the denominator, then find the coefficient factors that causes in turn to produce the original numerator. , which means ( ) ( ) ( ) Now the goal is to put into geometric series sum form of. Now the function was represented by sum of two functions. And for the second partial function, it converges for | | | | | | , which means the interval of convergence is ( ).