Use an appropriate series to find Taylor series of the given function centered at the indicated value of a. Write your answer in summation notation. sinx, a= 2π

The Taylor series is  

Step-by-step explanation:

From the question we are told that

      The function is  

This is centered at  

Now the next step is to represent the function sin (x) in it Maclaurin series form which is  

=>      

   Now since the function is centered at  

We have that

This above equation is generated because the function is not centered at the origin but at

Now due to the fact that

This because   is a constant

   Then it implies that the Taylor series of the function centered at is