Power Series put sequences, series, functions, polynomials and derivatives all. Doing so allows us to create polynomial versions of non-polynomial functions. Below is the Maclaurin Series representation of Sinesin(x)=p(x)=n=0(-1)nx2n1(2n1)!A. Using the Ratio test, find the radius of convergence for the seriesB. Write out the first 6 terms of the series (evaluate the series above from n=0 to n=5)C. Evaluate using your unit circle knowledge:sin(6)sin(4)sin(3)D. Evaluate these using your series and a calculator:p(6),p(4),p(3)E. One flaw of this system is that they don't work perfectly until you have an infinite number of terms. Evaluate the following in radian mode:sin(10)F. How could we "fix" 10 radians to make it work more accurately in our Power Series?