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e power minus infinity is written as e^-∞. Therefore, our answer i.e. value of e^-∞ becomes zero.
ln(1) = 0 as e to the power 0 is 1. ln(0) would mean that e to the power of a number is 0 which never occurs at all. So it's undefined.
When e is raised to power infinity,it means e is increasing at a very high rate and hence it is tending towards a very large number and hence we say that e raised to the power infinity if infinity. On the other hand when e is raised to the negative infinity then it becomes a very small number and hence tends to zero.