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## Imagine that you need to compute e^0.4 but you have no calculator or other aid to enable you to compute it exactly, only paper and pencil. Y

Question

Imagine that you need to compute e^0.4 but you have no calculator or other aid to enable you to compute it exactly, only paper and pencil. You decide to use a third-degree Taylor polynomial expanded around x =0. Use the fact that e^0.4 < e < 3 and the Error Bound for Taylor Polynomials to find an upper bound for the error in your approximation.

|error| <= _________

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Mathematics
6 months
2021-07-25T17:59:54+00:00
2021-07-25T17:59:54+00:00 1 Answers
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## Answers ( )

Answer:0.0032

Step-by-step explanation:We need to compute by the help of third-degree Taylor polynomial that is expanded around at x = 0.

Given :

< e < 3

Therefore, the Taylor’s Error Bound formula is given by :

, where

Therefore, |Error| ≤ 0.0032