Problem 1. When the N-th order approximation using Taylor series is: f(x+1) = f(x;) + f'(x;)h+....

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Problem 1. When the N-th order approximation using Taylor series is: f(x+1) = f(x;) + f'(x;)h+. + f(n) (xi) + R h n! show that the remainder term Rn = " p=i+1 (x+1 t)" f(n+1)(t)dt = n! = (n+1)! f(n+1)(a) hn+1, where ; < a Problem 1. When the N-th order approximation using Taylor series is: f(x+1) = f(x;) + f'(x;)h+. + f(n) (xi) + R h n! show that the remainder term Rn = " p=i+1 (x+1 t)" f(n+1)(t)dt = n! = (n+1)! f(n+1)(a) hn+1, where ; < a