Let f (x) = cos x and n ∈ N.a) Find the Taylor polynomial P2n := P f,02n .b) Prove that if...

Let f (x) = cos x and n ∈ N.

a) Find the Taylor polynomial P2n := P f,02n .

---

b) Prove that if x ∈ [−1, 1], then

---

c) Find an n so large that P2n approximates cos x on [−1, 1] to seven decimal places.