Let f(x)=sinx. A third–degree Taylor polynomial P3 is used to approximate f near x=0.
(a) Write P3(x) for f centered at x=0. Show your work.
(b) Using your result from part (a), determine a numerical upper bound for ∣f(0.200)−P3(0.200)∣. Clearly state any values you use to justify your bound.