5-Minute Before Exam Checklist:

1. sin(x)/x -> 1 (RADIANS), (e^x-1)/x -> 1, ln(1+x)/x -> 1, (1+x)^(1/x) -> e

2. Seven indeterminate forms: 0/0, inf/inf, 0*inf, inf-inf, 0^0, 1^inf, inf^0

3. 1^inf formula: e^(lim g*(f-1))

4. (1-cos x)/x^2 -> 1/2

5. (sin x - x)/x^3 -> -1/6

6. (tan x - x)/x^3 -> 1/3

7. sin(ax)/sin(bx) -> a/b

8. (a^x - b^x)/x -> ln(a/b)

9. Continuity: Defined + Limit exists + Limit = value

10. jumps at every integer; {x} jumps at every integer

11. sqrt(x^2) = |x| = -x when x < 0

12. L'Hopital: only for 0/0 and inf/inf; differentiate separately

13. IVT: continuous + sign change = root exists

14. Sandwich: bounded * vanishing = 0

15. [sin x/x] = 0 near 0 (NOT 1)