Write the Taylor Series for f(x) = sin(x3) centered at x = 0. State which test of convergence you will use to find the interval of convergence of this series. Write the 10th-degree polynomial of the Taylor Series. Use your answer to "c" to accurately approximate the definite integral sin(x)dx.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Write the Taylor Series for f(x) = sin(x²) centered at x = 0.
State which test of convergence you will use to find the interval of convergence of this series.
Write the 10th-degree polynomial of the Taylor Series.
1
Use your answer to "c" to accurately approximate the definite integral [ sin(x³)dx.
0
Transcribed Image Text:Write the Taylor Series for f(x) = sin(x²) centered at x = 0. State which test of convergence you will use to find the interval of convergence of this series. Write the 10th-degree polynomial of the Taylor Series. 1 Use your answer to "c" to accurately approximate the definite integral [ sin(x³)dx. 0
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