The function is .
Power series: and centered at .
Rewrite the summation.
The series is converges when .
The power series is and converges in the interval .
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
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.![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=6d7a6469f503bead25e0dd76ee3f6aa2.png\")
and centered at ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8d483f7b717e001337497535b2dae355.png\")
.![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d486722c197f85a763b9361539667cd5.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=88a2e69bb05de912a8fb4f0d050a1a64.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=11218f12767dfcae3349859f7b20e662.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ac900faee219e575467bdb87d8d3c7f1.png\")
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f95a4dfc079f977e428c39583a16c219.png\")
. ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=24055c03e6b5d3b373a68f3c6764c2d1.png\")
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ac900faee219e575467bdb87d8d3c7f1.png\")
and converges in the interval ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ab9d8723fe20eda4bc0bfdbed2a04723.png\")
.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
and converges in the interval .