Q8.Math calculus. Please explain every step, step by step, even small step, clearly using any definition or concept, Please provide a mathematically rigorous and detailed solution 8. Use the third degree Taylor polynomial (centred at 0) to approximate e0:2, and then prove theerror bound between this approximation and e0:2 is no greater than 0.0002.ri= e' for x E R and note e0.2

In this question, we use the Taylor series expansion up to degree and then approximate the value of…

Answered: Use the third degree Taylor polynomial…

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Use the third degree Taylor polynomial (centred at 0) to approximate e0.2,

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Q8.Math calculus. Please explain every step, step by step, even small step, clearly using any definition or concept, Please provide a mathematically rigorous and detailed solution

8. Use the third degree Taylor polynomial (centred at 0) to approximate e0:2, and then prove the
error bound between this approximation and e0:2 is no greater than 0.0002.
ri
= e' for x E R and note e0.2 <e < 3.
i!
i=0
Hint: recall )`

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