Analysis: Infimum and Supremum

  • Thread starter Rubik
  • Start date
  • #1
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Homework Statement


Find the Supremum and Infimum of S where,
S = {(1/2n) : n is an integer, but not including 0}

Homework Equations





The Attempt at a Solution


Is it right if I got inf{S} = -∞ and sup{S} = ∞
 

Answers and Replies

  • #2
Bacle2
Science Advisor
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Try checking the values you obtain when substituting n=1,2,...:

{1/2,1/4,1/6,.....}

Notice that your values are positive, so that, e.g., -5 is a lower bound. Notice too,

that all the values are smaller than, e.g. 10, so that 10 is an upper bound.
 

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