Statement :
If then converges.
The statement is False.
Explanation :
According to the harmonic series diverges even though .
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then ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=0dcbc7286279210c254294cdea96933b.png\")
converges. ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=7ed01199f7e527cba56db8d2d2185aac.png\")
diverges even though ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=492272b2682e4a77827b4eff9562b224.png\")
.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")