1 min readβ’june 7, 2020

Athena_Codes

Sometimes, we want to find out **how accurate a Taylor polynomial prediction is to the actual function value at a given x.** This is where the Lagrange error bound comes into play.

When we have the Lagrange Error Bound below, notice how similar it is to the alternating series error bound from earlier!

Browse Study Guides By Unit

πUnit 1 β Limits & Continuity

π€Unit 2 β Fundamentals of Differentiation

π€π½Unit 3 β Composite, Implicit, & Inverse Functions

πUnit 4 β Contextual Applications of Differentiation

β¨Unit 5 β Analytical Applications of Differentiation

π₯Unit 6 β Integration & Accumulation of Change

πUnit 7 β Differential Equations

πΆUnit 8 β Applications of Integration

π¦Unit 9 β Parametric Equations, Polar Coordinates, & Vector-Valued Functions (BC Only)

βΎUnit 10 β Infinite Sequences & Series (BC Only)

πStudy Tools

π€Exam Skills

Β© 2024 Fiveable Inc. All rights reserved.