The series is .
Consider .
Substitute .
.
The series is converges for but diverges for .
Therefore, the statement is false.
The statement is false.
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.![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=209bc472bf6444b28c5b94669d3ed304.png\")
.![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=668b780419f73d4ce11204e44f4a3b89.png\")
.![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f209a40bc520ba12e75487c2e3d0255f.png\")
.![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=a2040a75ac4ab051e2994d1aa592dc01.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8c9718c451874b5f0702a6f56e1ee9c1.png\")
.![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f209a40bc520ba12e75487c2e3d0255f.png\")
but diverges for ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=05011e2e243c2b78096a13ec60622854.png\")
.![\"\"](\"/userfiles/image/steps_images/solution.JPG\")