Determining Convergence or Divergence In Exercises 11-18, determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit.
To calculate: Whether the sequence is convergence or divergence, if the sequence is convergence then evaluate its limit.
The sequence is .
Sandwich theorem states that:
If is the sequence that lies between the convergent sequence such that where both the sequence converges to same limit L. Then, the sequence will also converge to limit L.
Consider the sequence:
Here the nth term of the sequence is
Thus, the sequence is sequence of positive real number.
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