Use Taylor’s Theorem to find the smallest n such that the n-th Maclaurinpolynomial Pn(x) of f(x) = ex gives an approximation of f(x) at x = 0.7 with an errorless than 0.01. 10) Use Taylor's Theorem to find the smallest n such that the n-th Maclaurinpolynomial P(x) of f(x)= e® gives an approximation of f(x) at x = 0.7 with an errorless than 0.01.

Answered: 10) Use Taylor's Theorem to find the…

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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Use Taylor’s Theorem to find the smallest n such that the n-th Maclaurin
polynomial Pn(x) of f(x) = ex gives an approximation of f(x) at x = 0.7 with an error
less than 0.01.

10) Use Taylor's Theorem to find the smallest n such that the n-th Maclaurin
polynomial P(x) of f(x)
= e® gives an approximation of f(x) at x = 0.7 with an error
less than 0.01.

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