riding once again
Join Date: Oct 2005
Location: San Diego, CA
Bikes: '06 Cervelo R3, '05 Specialized Allez
Posts: 7,359

Okay, let's define the parameters of the proof. To show that lim (x > a) f(x) = y, you need to demonstrate that for any arbitrarily small deviation from the output value e (we don't know anything about e other than that it's arbitrarily small, which helps cancel out some terms), we can find a value d such that for all input values that differ from a by no more than d, the output deviates from y by no more than e.
Reword the highly precise (but rather arcane) sentence in your mind (or on paper) in plain English. Then write the same idea in mathematical symbols. Or, just Google "limit proof" (without the quotes) and go at it without understanding the concept. If you choose the former, let me know what you come up with. If the latter, well, good luck.
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