Support we were to plot (about 0) the 1000th Taylor polynomial p1000 of sin(x)
(a) what do you expect would be the relationship between the graphs of p1000 and sin(x) ?
(b) Find lim (x->infinity) p1000(x). What can you say about |p1000(x) - sin(x)|for large values of x?
(c) let R>0. Use the lagrange Remainder Formula to determine an upper bound for the nth Taylor remainder rn(x) for all x in [ -R, R]