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MTH621 Assignment 1 Solution and Discussion

Re: MTH621 Assignment 1 Solution and Discussion
Assignment # 01 MTH621 (Spring 2020)Maximum Marks: 20 Due Date: 10 062020
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Also remember that you are supposed to submit your assignment in Word format any other like scan images, etc. will not be accepted and we will give zero marks correspond to these assignments.Q1. Let S and T be nonempty sets of real numbers and define
ST={st│s∈S,t∈T}.
Show that if S and T are bounded, then
sup(ST)=supSinfT
and
inf(ST)=infSsupT
Q2. For what integer n is
1/n!>8^n/(2n)!?
Prove your answer by induction. 