![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
The limit expression is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=b2ee89783c52b096e3ac9fde06770fb3.png\")
.
The reasoning is wrong as it assumes both the functions go to![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=7137d9fb8730739db1291a8c2ed2e2b6.png\")
at the same rate.
The limit of ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=c18bf84e870e3e8d95549a1617717f64.png\")
does not translate to ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d19ea8dec317fbe5a411fa4b88fab0db.png\")
, because ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=7137d9fb8730739db1291a8c2ed2e2b6.png\")
is not a real number, it is more of a concept.
Analyzing the problem by graphing the original rational function and observe the behaviour of the graph around the limit.
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
Analyzing the problem by graphing the original rational function and observe the behaviour of the graph around the limit.
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