12. Task. If A = 1/ n |n N prove that inf A = 0. (Also, what's sup A, and why?) 12. Task. If A = (1/n |n N) , prove that inf A = 0. (Also, what's supremum of A, and why?)

13. Task. What's the supremum of the set B = (1/t |t (2, )) ? Prove that your answer is correct.

Dear Tutor: I need to proof both of these two tasks above by the Archimedean Property and the Theorem of Completeness. This is for a graduate course in Continuous Analysis, so I need all the verbal and numerical steps for each of these proofs, thank you so much!