For each of the following forms determine whether the following limit type
is indeterminate, always has a fixed finite value, or never has a fixed finite
value. In the first case answer IND, in the second case enter the numerical value,
and in the third case answer DNE.
Here are examples of the three cases:
Type means a limit of the form
where and
. Since this is an indeterminate form, the answer is IND.
Type means a limit of the form
where and
.
Since this limit is always 0, the answer is 0.
Type means a limit of the form
where and
.
Since never converges to a finite value, the answer is DNE.
Note that l'Hospital's rule (in some form) may ONLY be applied to indeterminate
forms.
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20.