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Fix bug 4687
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  • OpenProblemLibrary/AlfredUniv/anton8e/chapter2/2.4

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OpenProblemLibrary/AlfredUniv/anton8e/chapter2/2.4/prob3.pg

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@@ -75,7 +75,7 @@ push(@output, spf( f1($x1+$i*$dh) , "%12.8g") );
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# Present the text.
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TEXT(EV2(<<EOT));
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Let \(f\) be a continuous function that's defined on some interval. The following table gives some values of \(f\) at points on that interval:
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Let \(f\) be a function that's defined on an open interval that includes the point \($x1\) on the \(x\)-axis. The following table gives some values of \(f\) at points on this interval:
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EOT
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TEXT(
@@ -93,7 +93,7 @@ $INPUTSPACE = M3( qq! \\rule{${len}in}{.01in}!,
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Context()->texStrings;
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#TEXT(EV2(<<EOT));
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BEGIN_TEXT
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Assume the values in the table are typical values of \(f\), so the graph of \(f\) stays fairly close to a polygon connecting connecting consecutive points in the table, without wiggling wildly between them.
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Assume \(f\) is continuous at \($x1\), and the values in the table are typical values of \(f\) so the graph of \(f\) does not wiggle around wildly between consecutive points on the table but instead stays fairly close to the line that connects them.
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$PAR
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Use the table to find a good approximation of the largest \(\delta\) so that \(\vert f(x)-f($x1)\vert <$epsilon\) when \(\vert x-$x1\vert < \delta\).

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