Use power series operations to find the Taylor series at x = 0 for the functions in Exercises 13–30. x² 13. хе* 14. x²sin x 15. 1 + cos x 2 17. x cos TX 3! 18. x²cos (x²) 16. sin x – x + 19. cos²x (Hint: cos²x = (1 + cos 2x)/2.) x² 21. 1 - 2x 20. sin²x 22. x In (1 + 2x) 2 25. x tan¬' x² 24. (1 – x)3 23. (1 – x)? 26. sin x• cos x 1 27. e + 28. cos x – sin x 1 + x 29. In (1 + x) 30. In (1 + x) – In(1 – x)
Use power series operations to find the Taylor series at x = 0 for the functions in Exercises 13–30. x² 13. хе* 14. x²sin x 15. 1 + cos x 2 17. x cos TX 3! 18. x²cos (x²) 16. sin x – x + 19. cos²x (Hint: cos²x = (1 + cos 2x)/2.) x² 21. 1 - 2x 20. sin²x 22. x In (1 + 2x) 2 25. x tan¬' x² 24. (1 – x)3 23. (1 – x)? 26. sin x• cos x 1 27. e + 28. cos x – sin x 1 + x 29. In (1 + x) 30. In (1 + x) – In(1 – x)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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