For each pair of functions, use the basic functions (when

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
For each pair of functions, use the basic functions (when

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.