MTH621 Assignment 1 Solution and Discussion

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Re: MTH621 Assignment 1 Solution and Discussion
Assignment # 01 MTH621 (Spring 2020)

Maximum Marks: 20 Due Date: 10 -06-2020
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Q1. Let S and T be nonempty sets of real numbers and define
S-T={s-t│s∈S,t∈T}.
Show that if S and T are bounded, then
sup⁡(S-T)=supS-infT
and
inf⁡(S-T)=infS-supT
Q2. For what integer n is
1/n!>8^n/(2n)!?
Prove your answer by induction.

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Mth621 assignment 1 solution spring 2020.docx