Using Taylor expansion to find the limits of a function

[KiNGGeexD]

https://www.physicsforums.com/attachments/68247

I had been assigned this problem, I worked out the expansions (for practice) so they could have errors in them!

I got to a point (in the photograph) where I could take out a common factor of 1/x but I'm pretty stumped although via other methods I'm almost certain the limit is 1/2
Any help would be great!

 

[Mark44]

The attachment is invalid, so I am closing this thread. Please post the work you have done so we can see it, preferably NOT as an image. Judging by your post count, you have been a member of PF long enough so that you should be able to write your work directly in the post. If you are unsure how to do this, see https://www.physicsforums.com/showpost.php?p=3977517&postcount=3.