Question: Taylor Series. Show that for a cubic function, f(x) = ax^3 + bx^2 + cx + d the following Taylor Series approximation (written below) is

Taylor Series.

Show that for a cubic function, f(x) = ax^3 + bx^2 + cx + d the following Taylor Series approximation (written below) is an exact approximation.

Taylor Series. Show that for a cubic function, f(x) = ax^3 +

f'(xi) f f(x+1)=f(x) + f'(x) (Xi+1 - X;) + (Pit1 2;)2 + F"(xi ) (di+1 x;)3 +x I+?x 2! 3

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