Given n=113n2a. Evaluate the partial sum, S5, by showing your work by writing out the first 5 terms.b. What does the divergence test tell us about this series? Why?c. Use the integral test to determine if the series converges or diverges.Given n=11n34a. Evaluate the partial sum, S5, by showing your work by writing out the first 5 terms.b. What does the divergence test tell us about this series? Why?c. What does the p-series test tell us about this series? Why?If the series from number 7 changes to n=1(-1)nn34 it becomes an alternating series.a. Evaluate the partial sum, S5, by showing your work by writing out the first 5 terms.b. What does the alternating series test tell us about this series? Why?Given n=1enn!a. Evaluate the partial sum, S5, by showing your work by writing out the first 5 terms.b. What does the ratio test tell us about this series? Why?