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daktielti 2022-06-29 Answered
Evaluate lim n e n 2 ( 2 n ) !
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Answers (1)

Alexzander Bowman
Answered 2022-06-30 Author has 19 answers
perhaps it becomes clearer that the limit is infinite, making the series expansion of the exponential
e n 2 ( 2 n ) ! = m = 0 ( n 2 ) m m ! ( 2 n ) ! n 4 n ( ( 2 n ) ! ) 2 = ( n 2 n ( 2 n ) ! ) 2
the last expression on the right is C n C > 0 for large n.
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