Seems rather trivial. Perhaps you mean the following?
sorry, it's actually lim (2-x)^tan(Pi x/2)
as x approaches 1
I tried the formatting from word, and it didn't quite work
That's correct. Does this help you?
isn't tan(Pi x/2) indeterminate though? I've tried tons of tricks, and I can't seem to crack any way to get the pi x/2 out of there.
Now you can apply l'H˘pital's rule.
whoa, you guys are awesome, but do you have to handle different indet forms differently? if so, do you just tackle it by taking the derivative? I derivatived it before using the ln/exp rule, every time, lol. Thanks a million to everyone.
You can only apply l'H˘pital's rule (so f/g -> f'/g' for the limit) to the indeterminate forms 0/0 or ∞/∞. If you have another indeterminate form (0.∞, 1^∞, ...), you have to reduce it to one of the "allowed" indeterminate forms for l'H˘pital's rule.
Yes, although I prefer the way of rewriting as I did (log(...)/cot(...)) because log is easier to differentiate than 1/log.