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Cell["\<\
Examples from Section 8.4
The Integral Test for Series\
\>", "Subsection"],

Cell[CellGroupData[{

Cell["p. 643", "Subsection"],

Cell[CellGroupData[{

Cell["3.", "Subsubsection"],

Cell[TextData[{
  "The series ",
  Cell[BoxData[
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  " diverges since the terms do not approach 0: ",
  Cell[BoxData[
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  " Also, using the integral test:"
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Cell[TextData[{
  "The limit goes to \[Infinity] as ",
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  "."
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Cell["9.", "Subsubsection"],

Cell[TextData[{
  "The series ",
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  "diverges by the integral test:"
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  "The limit is \[Infinity] as ",
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Cell["19.", "Subsubsection"],

Cell[TextData[{
  "The series ",
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  " diverges because it is a geometric series with ",
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  "."
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Cell[TextData[{
  "Use the integral test for the series ",
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  "."
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Cell[TextData[{
  "The series ",
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Cell[TextData[{
  "For what values of ",
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            \)\(\((a - 1)\)\ n\  + \ 4\ a\  - \ 2\)\/\(\((n + 2)\) 
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Cell["41.", "Subsubsection"],

Cell[TextData[{
  "a) From Exercise 33 we know that ",
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  " showing that the sequence is decreasing. A bounded decreasing sequecne \
must converge. The limit in this case is an important constant called ",
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  " and is usually denoted by \[Gamma]."
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