What is a convergent sequence and a divergent sequence?

Sequence convergent or divergent? If convergent, find the limit. a_n = (3n-1)!/(3n+1)!?

  • Answer:

    nth term of the sequence = (3n-1)! /(3n+1)! = (3n-1)! /(3n+1)(3n)(3n-1)! = 1/(3n)(3n-1) As n approaches infinity, this approaches 0 which is the limit.

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nth term of the sequence = (3n-1)! /(3n+1)! = (3n-1)! /(3n+1)(3n)(3n-1)! = 1/(3n)(3n-1) As n approaches infinity, this approaches 0 which is the limit.

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