Using Taylor expansion to find the limits of a function

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SUMMARY

The discussion centers on using Taylor expansion to determine the limits of a function. The user attempted the expansion but encountered difficulties in simplifying the expression after factoring out 1/x. Despite the challenges, they expressed confidence that the limit approaches 1/2. The thread was ultimately closed due to an invalid attachment, prompting the moderator to request that users share their work directly in the forum for clarity.

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KiNGGeexD
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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!
 
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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.
 

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