Directions: Answer the following completely with solutions. 1. Determine whether the series one converges or diverges. (Hint: Use Limit Comparison Test) 2. Determine whether the series (-1)" converges or diverges. ain'tn 3. Determine whether the series te (-1)" is absolutely convergent, n' + n conditionally convergent or divergent. 4. Determine whether the series \\ (2n)! i (n!)2 - is absolutely convergent, conditionally convergent or divergent. 5. (c - 2)" Find the interval of convergence of the power series 1=0 2n + 1 (x - 2)" Find the radius of convergence of the power series 2n + 1 7. Find the interval of convergence of the power series ) (-5x)" 8. 1 Express as a power series and indicate the interval in which this representation is valid. 9 1 Express as a power series and indicate the interval (3-2) in which this representation is valid. 10. Find the sum of n