Please show all work, step by step. Thank you so much!

4. (10 pts) Does the following series (i.e. the sum) converge, diverge, or it cannot be determined. The base of the tower is a cube whose edges are each one foot long. On top of it are cubes with edges of length 1/2, 1/3, 1/4, etc. as in figure 10. 1/5 1/4 1/3 1/2 Fig. 10: Harmonic Tower a. Represent the total height of the tower as a series. Use a test to determine whether the series sum converges, diverges, or it cannot be determined b. Represent the total surface area of the cubes as a series. Use a test to determine whether the series sum converges, diverges, or it cannot be determined. c. Represent the total volume of the cubes as a series. Use a test to determine whether the series sum converges, diverges, or it cannot be determined