5-Minute Before Exam Checklist:

1. sin$\frac{x}{x}$ -> 1 (RADIANS), $\frac{e^x-1}{x}$ -> 1, ln$\frac{1+x}{x}$ -> 1, (1+x)^$\frac{1}{x}$ -> 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. $\frac{1-cos x}{x}$^2 -> 1/2

5. $\frac{sin x - x}{x}$^3 -> -1/6

6. $\frac{tan x - x}{x}$^3 -> 1/3

7. sin$\frac{ax}{sin}$(bx) -> a/b

8. $\frac{a^x - b^x}{x}$ -> ln$\frac{a}{b}$

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)