For each pair of functions, use the basic functions (when possible) to say which approaches its limit more quickly, and then check with L'Hopital's rule.
1. x2 and e2x as x †’ ˆž.
2. x2 and 1000x as x †’ ˆž.
3. 0.1x0.5 and 30 1n(x) as x †’ ˆž.
4. x and ln(x)2 as x †’ ˆž.
5. e-2x and x-2 as x †’ ˆž.
6. 1/ln(x) and 30x-0.1 as x †’ ˆž.
7. x-1 and - ln(x) as x †’ 0. Use your result to figure out

8. x-1 and 1 / ex - 1 as x †’ 0.
9. x2 and x3 as x †’ 0.
10. x2 and ex - x - 1 as x †’ 0.

lim x In(x)