Help, with an explanation provided. Thank you Using standard series, or otherwise, find the expansion up to the term in x³ of(1+ 3x)²1+x+ +2! 3!1+6x+9x²O 1-6x + 27x²-108x³O431–5x+ -x²2-50365001-4x+7x²_.3-X-x33

Answered: Image /qna-images/answer/a4c00cd1-1614-4561-9ace-6c98432df59e.jpg

Answered: Using standard series, or otherwise,…

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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Using standard series, or otherwise, find the expansion up to the term in x³ of et (1+ 3x)² 1+x+ O - - + 2! 3! 1+6x+9x² O 1-6x+27x² - 108x³ 1-5r+ 43 — 2 1-4x+7x²- - 503 6 - — 500 -x3 3 -3 ·x'