Let x 0 and assume that (n+1) (t) 0 for 0 t

Let x ≥ 0 and assume that ƒ⁽ⁿ⁺¹⁾(t) ≥ 0 for 0 ≤ t ≤ x. Use Taylor’s Theorem to show that the nth Maclaurin polynomial T_n satisfies

T_n(x) ≤ ƒ(x), for all x ≥ 0