can I please get help some help with these questions. I am travelling this week and have less time

_ Determine if the following series are convergent or divergent Z sin[n] n=1 _ Find the values of}; forwhich . a11+] L = llrn I W l -=: l nI-ao and tell if the series converges or diverges when given the series Z (21 ; 2)\" \"=1 _ Find power series for the following functions I 1 (2:34 _ Write down the rst 4 Taylor polynomials around zero and plot x) a long with its approximation HI) = 32&quot