Module 9 :  Infinite Series, Tests of Convergence,  Absolute and Conditional Convergence, Taylor and Maclaurin Series
Lecture 27 :  Taylor and Maclaurin series [Section 27.2]
(4)
 Using Maclaurin series for standard functions and suitable operations, write Maclaurin series for the following :
(i)
(ii)
(iii)
(iv)
Answer
(5)
Binomial series:

Write Maclaurine series for the function

Where m is a real member. Using ratio test, show that the Maclaurin series for is convergent for . This series is also called Binomial series for . Using this series, find the Maclaurin series for

  Answer
1
25