Two Taylor polynomials are used to approximate at : •
MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
Two Taylor polynomials are used to approximate ex at x=2.5:
• P3(x), the third-degree polynomial centered at a=2.
• Q5(x), the fifth-degree polynomial centered at a=0.
Without performing numerical calculation, indicate which polynomial is expected to provide the more accurate value at x=2.5, and briefly justify your choice.