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'

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Using standard series, or otherwise, find the expansion up to the term in x³ of
(1+ 3x)²
1+x+ +
2! 3!
1+6x+9x²
O 1-6x + 27x²-108x³
O
43
1–5x+ -x²
2
-
503
6
500
1-4x+7x²_.
3
-X
-x3
3
Transcribed Image Text:Using standard series, or otherwise, find the expansion up to the term in x³ of (1+ 3x)² 1+x+ + 2! 3! 1+6x+9x² O 1-6x + 27x²-108x³ O 43 1–5x+ -x² 2 - 503 6 500 1-4x+7x²_. 3 -X -x3 3
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