Determining Convergence or Divergence In Exercises 29-44, determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit.
To calculate: The convergence or divergence of the sequence, and if the sequence converges then find its limit.
The sequence, .
To check whether the sequence is convergent or not, first evaluate . If the limit value is finite then the sequence is convergent. if the limit value is not finite then the sequence is divergent.
The nth term is,
Taking limit n goes to infinity on both sides,
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