This one has my entire class stumped:

I've tried l'Hôpital but I still get , and trying to build Taylor sums out of this mess seems impossible. I thought of using the squeeze theorem, but I have no idea what to squeeze it between or how to prove it. My attempt with l'Hôpital showed me it was>0, and graphing it on my computer it looked to be about 1. Any help writing a proof will be greatly appreciated.