Exploration (ii).  Investigate the series .  

Exploration (ii).

Consider  cos(z) and use Mathematica to find a Taylor polynomial expanded about z = 0, the remainder is expressed in the Big "O" notation.

Use the general term in the series for  cos(z)  and sum the infinite series.

Use Mathematica to plot some partial sums for cos(z).

(c) 2006 John H. Mathews, Russell W. Howell