MAT136H1 Lecture Notes - Ratio Test

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

Document Summary

Question #1 (easy): maclaurin series and radius of convergence. Maclaurin series is exactly same as taylor series of the function at , but where. Find the maclaurin series for ( ) using the definition of maclaurin series. Since maclaurin series requires derivative of the given function, ( ) ( ) which is the first term for . Then to find the radius of convergence, put to the ratio test. ( )( ) and. The negative alternating factor can be left out because these ratios go inside the absolute value signs.