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Question: The limit of a sequense in Maple

Question:The limit of a sequense in Maple

Kitonum 20539
limit sequence
June 19 2015
1

Can Maple look for the limit of a sequence  f(n)  for n=1,2,3, ... ? Of course, if there is a limit of the function of continuous argument, the limit of the sequence is the same number. But it is easy to give examples of when there is the limit of the sequence, and the limit of the function does not exist:

assume(n, posint):

 limit(sin((n^2+1)/n*Pi), n=infinity);  # Obviously the correct answer is  0

                            -1 .. 1

  
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