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Example
Reduce 24/36 to its lowest terms. 24/36=12/18=6/9=2/3. In the first step we divide the numerator and the denominator by 2. The fraction gets reduced to 12/18. We divide this fraction again by 2. It stands reduced to 6/9. This we divide by 3. We obtain 2/3. Thus, we say that the fraction 24/36 has been reduced to its lowest terms, which happens to be a fraction 2/3.
Let Xn be a sequence of distinct real numbers. Defi ne E = {L : L is a subsequential limit of Xn}. Prove E is closed.
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