Solve question 3, 7, 9, 11, 15, 19, 23 and 29. Thank you.

3-36 Find the radius of convergence and interval of convergenc of the power series. 00 x" 00 3. > 4. > (-1)"nx" n=1 n n=1 5. Enx (-1)"x" 6. M n=1 n=1 00 7. > 5" 8. n= 1 5n n=2 n 00 X 00 n M 10. X' n=1 n3" n=in + 1 00 E (-1)"x" 12. 2n - 1 L n=1 n=1 n2 00 13. 14. _n"x" n=0 n! n=1 00 15. M n=in 4 An 16. > 2"n2x" n=1 00 (-1)"4" 00 17. (-1)"-1 x " 18. M x / n=1 Vn n5" 00 n - 2n 19. 20. n=1 2" (n2 + 1 ) n=1 n! (x - 2)" 00 21. (-1)" 22. n=on + 1 n=1 (2n - 1)2" (x - 1)" 00 (x + 2)" 23. Vn 24. n=2 2" In n 8n (x + 6)" n= 1 (x - 2)" 25. Z (2x - 1)" 26. n=1 n=1 5" Vn 00 In n 00 27. (-1)" 28. n=4 n n=2 n Inn 00 n 29. bn ( x - a )", b >0 n=1