Evaluate <munder> <mo movablelimits="true" form="prefix">lim <mrow class="MJX-TeXAtom-ORD

Shea Stuart

Shea Stuart

Answered question

2022-06-30

Evaluate lim n e n 2 ( 2 n ) !

Answer & Explanation

Mateo Carson

Mateo Carson

Beginner2022-07-01Added 15 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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