Please help me solve the following equations. Please show work. Thanks a lot!

Question 7 (2 points) () Listen Absolute or conditional converge or diverge _=1 10o (-1)"3n2 n3+1 Question 8 (2 points) Listen no In(n) Absolute or conditional converge or diverge Zn=1 n3 Question 9 (2 points) ) Listen 700 n+1 Absolute or conditional converge or diverge _ =1 n! Question 10 (2 points) () Listen Find interval and radius of convergence, check endpoints) Soo (n+1)+2-1 =0 3n Question 11 (2 points) ) Listen Find the taylor series at x=0 for cos (a3 ) Question 12 (2 points) ) Listen Find the first four nonzero terms of the taylor polynomial for f(x)= _ at x=2