Decision priorities for 0/0 form:

1. Can you factorize? $\frac{polynomial numerator}{denominator}$
2. Can you use a standard limit? (trig or exponential expressions)
3. Can you rationalize? (involves square roots)
4. Can you use Taylor series? (for small-angle approximations)
5. Apply L'Hopital's Rule (always works but may be slow)

Decision priorities for 1^infinity form:

1. Write as 1 + small quantity
2. Apply e^(lim g(x)[f(x)-1])
3. Never try L'Hopital directly on 1^infinity — it doesn't apply