Question: 3. Consider the function f(x) = sin(x). Show that if |x| M, then |f(x) Tn(x; 0)| Mn+1 (n+1)!' and use this to prove that

3. Consider the function f(x) = sin(x). Show that if |x| M, then |f(x) Tn(x; 0)| Mn+1 (n+1)!' and use this to prove that sin(x) = = (-1)"; n=0 (8) x+1 (2n+1)!' V x R. (9)

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