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Reference no: EM13178406

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]

Reference no: EM13178406

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