Friday, April 5, 2019

infinity - Regarding limits and 1infty







I have some questions about limits and the undefinability of 1.




For example, is lim indefinite? Why is it not 1? Or do mathematicians, when saying that 1^\infty is indefinite, actually refer to cases such as lim_{x\to\infty} \left(1 + \frac{a}{x}\right)^x where even though at a first glace the result is 1, this is actually a special case and it is equal to e^a?

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