(1) Test for convergence the series below: DO cosmr 3 00 n n (a) :1 n! / (b) 22 (R) (e) Z \"' (d) Ztlrn (6) 2(W1)\" (f) ENE1)- n=1 n=1 Hint: for (f), rewrite W = 60112)\" and apply limit comparison with 1 / n. (2) Find the radius R and interval of convergence (domain) of these power series: 0 1n 32\" (a) 2;\")159\" (b) 22(2nln33' 11:1 (3) Verify that the radius of convergence of the series below is R = +00, so that it converges for every 2:: 00 n Em n!- n=0