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Prove

Name: Anonymous 2009-01-07 5:41

lim as x->1 of 1/(x+3) is 1/4.

Name: Anonymous 2009-01-07 19:21

Let \epsilon > 0 and let \delta = 16\epsilon.  Then

\left|\frac{1}{(1+\delta)+3} - \frac{1}{4}\right| = \left|\frac{\delta}{4(4+\delta)}\right| < \frac{\delta}{16} = \epsilon

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