SWA 31. Write a definition ofan infinite series. 2. Write a definition of partial sums. 3. Give an example ofan infinite series and find first three terms of its sequence of partial sums. 4. Define convergence or Write a definition ofabsolute convergence and conditional convergence.Give an example of one absolutely convergent series and explain why it's absolutelyconvergent.Give an example of one conditionally convergent series and explain why it's conditionallyconvergent. divergence of a series.Determine if the series 1-1+2-2+3-3+4-4+dots converges or diverges. If the series converges,find its sum. Give detailed explanation.