Why 0 to the Power 0 is 1 | How to Solve 0^0=1 | Challenge! Nobody can Solve this - 0^0=?

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Why 0 to the Power 0 is 1 | How to Solve 0^0=1 | Challenge! Nobody Can Solve This - 0^0=?
Have you ever wondered why 0 to the power of 0 equals 1? It's one of the most puzzling and controversial questions in mathematics! In this video, we dive deep into the mystery of 0^0 and explain why the answer is 1.
Join us as we explore:
The mathematical reasoning behind 0^0
Different perspectives from algebra and calculus
Real-world applications of this strange concept
Why many find this equation challenging to understand
Take on this *math challenge* and test your knowledge! Can you solve it? Watch the full explanation, and let us know your thoughts in the comments!
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Опубликовано:

22 окт 2024

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Комментарии : 3

@rogovnin 12 часов назад

It's uncertain.

@its_w4yne 15 часов назад

First of all: This is no proof. Secondly: Yes, the limit for x->0 for x^x goes to one (which you can prove by writing it as e^(x*lnx) and use l'hopital for the exponent: e^-((1/x)/(1/x²)) = e^x -> 1 But most of all: This only works because you let both go to 0 equally. But you can easily chose a function f that goes to 0 so that f(x)^x does not go to 1. For example for f=e^(-1/x) you get e as limit of f(x)^x. For f=e^(-1/x²) you get infinity. This shows that 0^0 could be different values, depending on how both terms go towards zero. That's why it's not defined.