# Does #a_n={(3/n)^(1/n)} #converge? If so what is the limit?

It converges to

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Yes, the sequence ( a_n = \left(\frac{3}{n}\right)^{\frac{1}{n}} ) converges. The limit of this sequence as ( n ) approaches infinity is ( 1 ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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- How do you apply the ratio test to determine if #Sigma n^n/((2n)!)# from #n=[1,oo)# is convergent to divergent?
- How do you find #lim (2-sqrt(x+2))/(4-x^2)# as #x->2# using l'Hospital's Rule?
- What is L'hospital's rule used for?

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