· (8 points) Determine if the sequence finding its limit. converges or diverges by 5n+3 2. (8 points) Determine whether the following infinite series converges or diverges. State your reason for your answer. If it converges, find the sum. 4 n=1 3. (8 points) Determine whether the following infinite series converges or diverges. State your reason for your answer. n6 +4 4. (8 points) Use the Direct Comparison Test to determine if the series converges or diverges. 5. (12 points) An infinite series is given by 13n +1 3n +4 Find an expression for the nth partial sum S, of the series. Then find lim S and determine whether the series converges or diverges. If the series converges, find its sum 72