Maths 191, please make sure you show all the steps and please make sure the answers are correct, Thank You So Much! God bless you!

1) Test the series for convergence or divergence m 2112 _ n 2( 1) n3+3 n=1 2) Test the series for convergence or divergence 3) Determine whether the series is convergent or divergent. ZED" cos G) 4) Determlne whether the series is convergent or divergent no 3a2 + 211 \"=1 V4 + a5 5) Express the number as a a ratio of integers 3.75283283283283283..... 6) Determine whether the geometric series is convergent or divergent. If convergent, find its sum. 7) Determine whether the sequence converges or diverges. If it converges, find the limit. Sin2 (n) an = 3n 8) Determine whether the series converges or diverges w 11 en n=1 9) Determine whether the series converges or diverges 10) Use any test to determine whether the series is absolutely convergent, conditionally convergent, or divergent M)" k=2