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/sci/ - Science & Math


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12516620 No.12516620 [Reply] [Original]

[math]\lim_{x \to 10^{10^{10^{10}}}} [/math]

>> No.12516868
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12516868

>>12516620

>> No.12517788
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12517788

[math]10^{10^{10^{10}}}=\infty [/math]

>> No.12518114

>>12516620
It's not in Coq

>> No.12518976
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12518976

>>12517788

>> No.12519370

[math]\lim\limits_{x\rightarrow10^{10^{10^{10^{10^{...}}}}}}x^{x^{x^{x^{x^{x^{x^{...}}}}}}}=1[/math]

>> No.12519394

>>12519370
prove it

>> No.12520262

>>12519394
a=10^10^...=(10^10^...)^(10^10^...)
a=a^a
a=1

>> No.12520293

>>12519370
It should be about 3.0117... if there are no convergance issues