hard limit problem involving a trig. exponent

**PROBLEM:**

ATTEMPT:

Does L'Hopital's Rule apply work for this problem? I don't think so, because it is not in the appropriate indeterminate form; for, it would be . But I don't know any elementary methods that would be appropriate here, nor any limit properties. :/

Re: hard limit problem involving a trig. exponent

Yes, L'Hospital's works. Try this - take the log of the expression, and you get:

Now use L'Hospital's, and you shoud find that this limit approahes a value, let's call it A. The the limit of the original problem is .