Example 3-3-1 - Maple Help



Chapter 3: Applications of Differentiation



Section 3.3: Taylor Polynomials



Example 3.3.1



 a) For $f\left(x\right)={e}^{x}$ at $x=0$, obtain Taylor polynomials of degree 1, 2, and 3.
 b) Graphically compare these polynomials on $\left[-4,4\right]$.
 c) Use ${R}_{3}\left(x\right)$ to estimate the largest difference between $f$ and ${P}_{3}$ on $\left[-1,1\right]$.
 d) Find the actual value of the largest difference between $f$ and ${P}_{3}$ on $\left[-1,1\right]$.







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