14. Letf(x) =e² - ea. Find limo(eª - e¯¹)/x .xb. Use three-digit rounding arithmetic to evaluate ƒ(0.1) .c. Replace each exponential function with its thirdMaclaurin polynomial and repeat part (b).d. The actual value is f(0.1) = 2.003335000 . Find therelative error for the values obtained in parts (b) and (c).

Answered: Image /qna-images/answer/af828be7-5b2d-46b3-9137-a6280714f163.jpg

Answered: 14. Let f(x) = e² - e a. Find limo(eª -…

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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14. Let f(x) = e² - e a. Find limo(eª - e¯¹)/x . x b. Use three-digit rounding arithmetic to evaluate ƒ(0.1) . c. Replace each exponential function with its third Maclaurin polynomial and repeat part (b).