CalcNotes0204-page7 - gives us the one-point...

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(Section 2.4: Limits and Infinity II) 2.4.7. FOOTNOTES 1. Infinite limits. Different books handle infinite limits differently. Refer to Footnote 1 in Section 2.3. Sometimes, ± and ±² are treated as the same (we collapse them together and identify them with one another as ± ), and adjoining them to the usual real number system
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Unformatted text preview: gives us the one-point compactification of the real numbers, also known as the real projective line. Then, the Limit Form 1 ± ² , and we can state that lim x ± 1 x = ² , and lim x ±² 4 x + 1 x 2 + 4 x = ³ . The limit still does not exist as a real number....
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This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.

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