For each of the following forms determine whether the following limit type is in

Question

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. For example IND 0/0 0 0/1 DNE 1/0 or plusminus infinity Note that I'Hospital's rule (in some form) may ONLY be applied to indeterminate forms. infinity/0 infinity^-infinity infinity^infinity infinity^-e infinity^0 0^infinity 0^-infinity 1^0 pi^infinity infinity middot infinity infinity - infinity 0^0 0/infinity 0 middot infinity pi^-infinity infinity^1 1^infinity 1 middot infinity 1^-infinity 1/-infinity

Explanation / Answer

1) DNE

2) DNE

3) DNE

4) 0 (zero)

5) IND

6) DNE

7) DNE

8) 1

9) DNE

10) DNE

11) IND

12) IND

13) 0 (ZERO)

14) IND

15) 0 (ZERO)

16) DNE

17) IND

18) DNE

19) 1 (ONE)

20) 0 (ZERO)

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