![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
The sequence ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=029d1b66f45754dd05f582c3980029ee.png\")
is decreasing sequence and all its terms lie between the numbers ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=0d25261cbf81e1c8bf5afdeff1f7b3e9.png\")
and ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=596dbfdc822a43adb27d19f5c360ac2a.png\")
.
The sequence is decreasing and bounded, therefore the sequence is monotonic.
\A monotonic bounded sequence is convergent.
\The limit of the sequence between ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=0d25261cbf81e1c8bf5afdeff1f7b3e9.png\")
and ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=596dbfdc822a43adb27d19f5c360ac2a.png\")
.
The limit of the sequence is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=520b5c449d427d708f086fa2ffdab645.png\")
.
![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
The sequence is convergent.
\The limit of the sequence is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=520b5c449d427d708f086fa2ffdab645.png\")
.