Please Login to access more options.

Problem 4: (Practice With Bounded Definitions 2)

Let $S$ be the set $S=\left\{\frac{1}{n}\mid n\in\mathbb{N}\right\}=\{1,\frac{1}{2},\frac{1}{3},\frac{1}{4},\frac{1}{5},\ldots\} $.

  1. Give two different upper bounds for $S$. Then give the supremum of $S$.
  2. Give two different lower bounds for $S$. Then give $\inf S$.

Remember, any time you make a claim, you must prove that your claim is correct.

The following pages link to this page.

Here are the old pages.