Let be a function having derivatives of all orders for such that , ,
MATHEMATICS · Numerical · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
Let f be a function having derivatives of all orders for x>0 such that f(3)=2, f′(3)=−1, f′′(3)=6, and f′′′(3)=12. Find the third-degree Taylor polynomial for f about x=3.