Indeterminate, Does not exist forms in math?

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. Note that l'Hospital's rule (in some form) may ONLY be applied to indeterminate forms.
1)inf^inf DNE
2) inf^-e DNE
3) 0^inf 0
4) 1/-inf 0
5)pie^-inf DNE
6)pie^inf DNE
7) inf^-inf 0
8)inf^0 IND
9)0.inf IND
10) inf-inf IND
11) 1^0 1
12) inf^1 DNE
13) 1^inf IND
14) inf.inf DNE
15) 0^-inf DNE
16) 0^0 IND
17) 1^-inf IND
18) inf/0 DNE
19) 1.inf DNE
20) 0/inf DNE


Can you tell me whats wrong with this solution as still I am getting 3-1 wrong answers with this solution

Answer 1

1- correct
2- 0
3-correct
4-correct
5-0
6-correct
7-correct
8- correct
9- correct
10- correct
11-correct
12-correct
13-correct
14-correct
15-correct
16-correct
17- correct
18-correct
19- correct
20- 0

Answer 2

A scientific theory is a unifying concept that explains a large body of data. It is a hypothesis that has withstood the test of time and the challenge of opposing views. The Big Bang Theory is supported by extensive empirical data. It used to be that science couldn't answer the question about the origin of the universe or of the Big Bang, but that didn't mean we should make up an answer (such as a god) and say that it was the cause. Within the last few decades science has discovered some good answers. Quantum mechanics shows that "nothing," as a philosophical concept, does not exist. There is always a quantum field with random fluctuations. There are many well-respected physicists, such as Stephen Hawking, Lawrence Krauss, Sean M. Carroll, Victor Stenger, Michio Kaku, Alan Guth, Alex Vilenkin, Robert A.J. Matthews, and Nobel laureate Frank Wilczek, who have created scientific models where the Big Bang and thus the entire universe could arise from nothing but a quantum vacuum fluctuation in the quantum field -- via natural processes. In relativity, gravity is negative energy, and matter and photons are positive energy. Because negative and positive energy seem to be equal in absolute total value, our observable universe appears balanced to the sum of zero. Our universe could thus have come into existence without violating conservation of mass and energy — with the matter of the universe condensing out of the positive energy as the universe cooled, and gravity created from the negative energy. When energy condenses into matter, equal parts of matter and antimatter are created — which annihilate each other to form energy. However there is a slight imbalance to the process, which results in matter dominating over antimatter. I know that this doesn't make sense in our Newtonian experience, but it does in the realm of quantum mechanics and relativity. As Nobel laureate physicist Richard Feynman wrote, "The theory of quantum electrodynamics describes nature as absurd from the point of view of common sense. And it agrees fully with experiment. So I hope you can accept nature as she is — absurd." For more, watch the video at the 1st link - "A Universe From Nothing" by theoretical physicist Lawrence Krauss, read an interview with him (at the 2nd link), get his new book (at the 3rd link), or read an excerpt from his book (at the 4th link). -

Answer 3

The following answers are wrong:

2: ∞^(-e) = 1/∞^e = 1/∞ = 0
5: π^(-∞) = 1/π^∞ = 1/∞ = 0
20: 0/∞ = 0

Also, π is spelled "pi", not "pie." Pie is the name of a tasty dessert, especially pumpkin pie.