Question
In Exercises $35-62,$ use appropriate limit laws and theorems to determine the limit of the sequence or show that it diverges.$$a_{n}=2^{1 / n}$$
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Step 1: We are given the sequence $a_{n}=2^{1 / n}$ and we are asked to find the limit of this sequence as $n$ approaches infinity. Show more…
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In Exercises $35-62,$ use appropriate limit laws and theorems to determine the limit of the sequence or show that it diverges. $$ a_{n}=\frac{n}{2^{n}} $$
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In Exercises $35-62,$ use appropriate limit laws and theorems to determine the limit of the sequence or show that it diverges. $$ a_{n}=\left(1+\frac{1}{n^{2}}\right)^{n} $$
In Exercises $35-62,$ use appropriate limit laws and theorems to determine the limit of the sequence or show that it diverges. $$ a_{n}=\left(1+\frac{1}{n}\right)^{n} $$
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