AP Calculus BCmediummcq1 pt
The Lagrange error bound for a Taylor polynomial of degree n uses
A.the maximum of the (n+1)th derivative
B.the function value at the center
C.the sum of all derivatives
D.the integral of the function
Explanation
Core Concept
Rₙ ≤ M|x−a|ⁿ⁺¹/(n+1)!.
Correct Answer
Athe maximum of the (n+1)th derivative
More Unit 10: Infinite Sequences and Series practice questions
- hardThe sum of the series Σ (2/3)ⁿ from n = 0 is
- hardThe Taylor series for f centered at a converges to f(x) where
- hardA power series differentiated term-by-term has
- hardThe alternating series Σ (−1)ⁿ/(n+1) converges because
- easyWhich series diverges by the nth term test?
Practice more AP Calculus BC questions with full explanations
Practice Unit 10: Infinite Sequences and Series Questions →