Module 9 :  Infinite Series, Tests of Convergence,  Absolute and Conditional Convergence, Taylor and Maclaurin Series
Lecture 27 :  Taylor and Maclaurin series [Section 27.2]
  Hence, the Taylor series of indeed converges to the function , i.e.,
   
(ii)
For the function
 

since

and for all x, we have

Hence, Taylor series of = cos is convergent to , and
.

19