Determine if the following sequences converge or diverge. You must justify your answers. If they converge, find the limit. You may use any test/theorems/results from class, but you must precisely state which ones you are using. 1 . an = 3n . In(sin(1) + 1)). 2. by = 2n- +(-1)" .n n2 3. Cn = (1+ 3)" +2