Changes

:'''Try this:'''

:'''Try this:'''

   

   

The first line should be <math>g'(x) \not\equiv 0</math> not <math>g'(x) \ne 0</math>, since it can still be 0 at some places.  [[User:ChuckK|ChuckK]] 08:53, 23 June 2009 (EDT)

The first line should be <math>g'(x) \not\equiv 0</math> not <math>g'(x) \ne 0</math>, since it can still be 0 at some places.  [[User:ChuckK|ChuckK]] 08:53, 23 June 2009 (EDT)

:You're right, of course -- indeed this is the case in the second example given.  The statement of the theorem right now isn't entirely precise, and it should also mention that the limit <math>f'(x)/g'(x)</math> must exist.  There are cases in which f/g is indeterminate, and the limit of f/g exists, but the limit of f'/g' does not exist.  I'd make these edits, but the page seems to be locked now... --[[User:MarkGall|MarkGall]] 11:07, 23 June 2009 (EDT)

:You're right, of course -- indeed this is the case in the second example given.  The statement of the theorem right now isn't entirely precise, and it should also mention that the limit <math>f'(x)/g'(x)</math> must exist.  There are cases in which f/g is indeterminate, and the limit of f/g exists, but the limit of f'/g' does not exist.  I'd make these edits, but the page seems to be locked now... --[[User:MarkGall|MarkGall]] 11:07, 23 June 2009 (EDT)

::Sorry!  Forgot to unlock it. Now it is. --[[User:TK|'''ṬK''']]_{<small><small>/Admin</small></small>}^{[[User_Talk:TK|/Talk]]} 15:07, 23 June 2009 (EDT)

::Sorry!  Forgot to unlock it. Now it is. --[[User:TK|'''ṬK''']]_{<small><small>/Admin</small></small>}^{[[User_Talk:TK|/Talk]]} 15:07, 23 June 2009 (EDT)