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x 3 = (a) Find the first 4 non-zero terms for the Maclaurin series for f(x). 3 1 + x + X 1+x² + 5 x 3. f(x) = (-2² x³ 1 x² x + X +4 + X - ៗ to + X + X + +4 + x 8 + (b) Find the 7th degree Macluarin polynomial for f(x). X ' + x²

x 3 = (a) Find the first 4 non-zero terms for the Maclaurin series for f(x). 3 1 + x + X 1+x² + 5 x 3. f(x) = (-2² x³ 1 x² x + X +4 + X - ៗ to + X + X + +4 + x 8 + (b) Find the 7th degree Macluarin polynomial for f(x). X ' + x²

Advanced Engineering Mathematics
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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How do you find the maclaurin and taylor series' for this function? A more detailed answer than the one provided in the picture would be appreciated! I am confused what equations they are using.

1-X - 1-x²², (a) Find the first 4 non-zero terms for the Maclaurin series for f(x). 3 2 1 + x + x + x 1+X f(x) + 3. x5 www x + X 4 x3 1 x² + X + + X x X + X (b) Find the 7th degree Macluarin polynomial for f(x). 4 P₂₁ (x) = x³ + x² + x 8
Transcribed Image Text:1-X - 1-x²², (a) Find the first 4 non-zero terms for the Maclaurin series for f(x). 3 2 1 + x + x + x 1+X f(x) + 3. x5 www x + X 4 x3 1 x² + X + + X x X + X (b) Find the 7th degree Macluarin polynomial for f(x). 4 P₂₁ (x) = x³ + x² + x 8
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