Question icon
Grade 12th passAlgebra

What is minimum of set S = {1/n : n is an element of set of all natural numbers}?

Profile image of Fathima Niloofar
6 Years agoGrade 12th pass
Answers icon

2 Answers

Profile image of Vikas TU
ApprovedApproved Tutor Answer6 Years ago
Consider the set {1/n : n ∈ N}.
Lower bounds: 0, −2, any negative number.
Upper bounds: 1, 1729
Maximum: 1 (because it is an element of the set and it is an
upper bound)
Minimum: there isn’t one
Profile image of Arun
ApprovedApproved Tutor Answer6 Years ago
Dear student
 
Minimum is occur when n is maximum, hence it is not defined.
While we can define maximum of 1/n when n is minimum as n = 1.
 
Hence maximum = 1