Q. 2 Let f(x) = = COS X. (1) Find Taylor's formula of f about 0...

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Q. 2 Let f(x) = = COS X. (1) Find Taylor's formula of f about 0 of degree 2n. (2) Show that the remainder of Taylor's formula approaches 0 as n . (3) Find the Taylor series of f about 0. You can use the fact that the Taylor series of ex about 0 converges for all x = R. ex = n=0 n! Q. 2 Let f(x) = = COS X. (1) Find Taylor's formula of f about 0 of degree 2n. (2) Show that the remainder of Taylor's formula approaches 0 as n . (3) Find the Taylor series of f about 0. You can use the fact that the Taylor series of ex about 0 converges for all x = R. ex = n=0 n!