Freemaths.us

Exercise 83: Calculate the limit .
Solution:

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 We use the theorem:
Theorem: If  for a sequence we have , where q >1 and  a_n > 0 for n =1, 2,... ,  then . We get

 

Using the definition of n! = n * (n-1) * (n-2) * ... * 2 * 1, so n! = n * (n-1)!, we get