and the series converge EXERCISES 9.6 Find Maclaurin series representations for the functions in 29. Exercises 1-14. For what values of x is each

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and the series convergeEXERCISES 9.6Find Maclaurin series representations for the functions in29.Exercises 1-14. For what values of x is each representation valid?2. cos(2x3)Basin(x - 3/4)4. cos(2x - It)$12 /sin(x/3)6. cos2(x/2)fin x cos x8. tan (5x2)1 + x311 + x210. In(2 + x2)1y In1 + x1 - x /12. (2x2 - 1)/x13. cosh x - cos x14. sinh x - sin xFind the required Taylor series representations of the functionFatih PELIKExercises 15-26. Where is each series representation valid?15. f(x) = e-2x about -116. f(x) = sin x about 1/217. Jf (x) = cos x in powers of x - It18. f(x) = Inx in powers of x - 31 39. Ve.Yo.)\f (x) = In(2 + x) in powers of x - 2a > v20. f(x) = e2x+3 in powers of x + 140. Review21. f(x) = sin x - cos x about -22. f(x) = cos2 x aboutf (x )23. f(x) = 1/x2 in powers of x + 2x24. f(x) = ]+x- in powers of x - 1has deriv25. f(x) = x In x in powers of x - 1f ( k) (0)26. f(x) = xe* in powers of x + 2MaclaurFind the first three nonzero terms in the Maclaurin series for theconvergfunctions in Exercises 27-30.the seri28. sec x tan x41. By dire27. sec xshow th