Could you help me solve 7-9?

7. [-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER Determine whether the given series converges or diverges. i 5n+1 S n=0 (O converges (O diverges If it converges, find its sum. (If the quantity diverges, enter DIVERGES.) 8. [-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. o Y T + o n(n + 2) - 0 For the partial sum 5, = Z 1, we first use partial fraction for the Kt term in the series k=1k(k+2) W k(k + 2) Then we getforany n> 2, S, = 5 Taking limiton S, , lim sn:' l Therefore, the series is O convergent (O divergent If it is convergent, its sum is (If the quantity diverges, enter DIVERGES.) [ 9. [-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER Determine whether the given series is convergent or divergent. 2 Pzt 2n+ 3 () convergent (O divergent