1. Test this series for convergence (4). n!(n + 1)! no (n + 3)! 2. Test this series for convergence (4). (-1)"n In Vn 3. Test this series for convergence (4). 4" + 5" 67 4. Test this series for convergence. (4) 57 + (2n)! gn 5. Test this series for convergence. (4) n5 + 3n - 7 2 n7 + 8n' + 1 6. Test this series for convergence (4). (8 + 5) In(4r' + 5r +3) 4x3 + 5x + 3 7. When re-arranging the alternating harmonic series, in the notes and videos I said that I could take any pattern of positive and negative terms. What happens if you try to sum all the positive terms before all the negative terms? Why doesn't this result in a reasonable value for the series? (4)