Suleyman.A's blog

By Suleyman.A, 9 years ago, In English

I wonder what the infinite is. someone say that 1^infinite = 1 we don't know what the infinite is how it can be equal to 1 and I know 1^everything is = 1
Please help, thanks.

 
 
 
 
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9 years ago, # |
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Reading the Wikipedia article may help better understand the concept.

As to how we may define 1, there's another reading there on how to define common operations on the set of real numbers extended with  ± ∞.

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9 years ago, # |
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If you want function 1x to be continuous in extended real number line you have to define 1x for x =  + ∞ as  and for x =  - ∞ as  .

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9 years ago, # |
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This reminds me of the exponential.

Limits of "1 power infinity" expressions often yield exponential functions. For example, for any given t:

Notice that the base approaches 1 and the exponent approaches infinity, but the resulting function is something completely different — and quite interesting.