Practice Exercises 9–26. Taylor series and interval of convergence a. Use the definition of a Taylor/Maclaurin series to

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Practice Exercises 9 26 Taylor Series And Interval Of Convergence A Use The Definition Of A Taylor Maclaurin Series To 1 (58.06 KiB) Viewed 37 times

Practice Exercises 9–26. Taylor series and interval of convergence a. Use the definition of a Taylor/Maclaurin series to find the first four nonzero terms of the Taylor series for the given function centered at a. b. Write the power series using summation notation. c. Determine the interval of convergence of the series. 1 9. f(x) = 2 = = 1 10. f(x) x2 12. f(x) = cos 2x, a = 0 2,9 = -1 11. f(x) = e-*, a = 0 2 13. f(x) 14. f(x) = x sin x, a = 0 (1 – x)3> a = 0 15. f(x) = (1 + x2)-!, a = 0 16. f(x) = In (1 + 4x), a = 0 17. f(x) = e24, a = 0 18. f(x) = (1 + 2x)-!, a = 0 Core 20. f(x) = sin 3x, a = 0 2 OOO 21. f(x) = 34, a = 0 22. f(x) = log2 (x + 1), a = 0 = = 19. f(x) = tan-1 za0 a = 0 = =