lim [1/(1-x) – cos x] / sin(2x) , which is still indeterminate.

Another iteration (again forgetting chain) leaves lim [-1/(1-x)^2 + sin x] / cos(2x) = -1

This computation can be done within the time constraints given in the film.

]]>It was suggested on reddit:

http://www.reddit.com/r/math/comments/2i68mk/would_it_be_possible_to_solve_the_limit_of_the/ckzbkws

And has been floated on other blogs about The Mean Girls limit before

Point 3 here:

http://kasmana.people.cofc.edu/MATHFICT/mfview.php?callnumber=mf450

However I appreciate that one of the points of the article is about if it would be possible to solve this limit in the 13 seconds it takes in the film, and I agree that in a sudden death situation trying something rough and ready to reach an answer that “feels right” is a better approach than plodding through l’hopital’s rule (or, like me, breaking out in a cold sweat at horrified recollections of first year mathematics exams at the mention of the words “Taylor Expansion”)

]]>