Find the Taylor series about 0 for each of the functions below. Give the first three non-zero terms for each. A. x sin(x²) x6 = B. 2 cos(x) + x²: = 2 + + + +1 +... +... For each of these series, also be sure that you can find the general term in the series!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the Taylor series about O for each of the functions below. Give the first three non-zero terms for each.
A. x² sin(x²) x6 =
B. 2 cos(x) + x²
2
+
+
+
+I
+...
+...
For each of these series, also be sure that you can find the general term in the series!
Transcribed Image Text:Find the Taylor series about O for each of the functions below. Give the first three non-zero terms for each. A. x² sin(x²) x6 = B. 2 cos(x) + x² 2 + + + +I +... +... For each of these series, also be sure that you can find the general term in the series!
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