Please answer the following questions by showing all work and providing explanation when needed- thank you.

2. (5 pts. each) Determine if the integral fordx converges or diverges. Be sure to explain your answer. 3. (5 pts.) Find the exact value of the integral: Ji 4. (5 pts. each) Determine if the series is convergent or divergent and find its sum, if possible: (b) 2n=In En 2 3 (0.2)"-1 5. (5 pts.) Approximate the sum of the series to within 0.01: (-1) "+1 IM: n