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(Solved): Use the appropriate limit laws and theorems to determine the limit of the sequence. \[ b_{n}=n^{6 / ...
![Use the appropriate limit laws and theorems to determine the limit of the sequence.
\[
b_{n}=n^{6 / n}
\]
(Use symbolic notat](https://media.cheggcdn.com/study/975/97533afc-c1c7-402c-b81b-c93f4146a69e/image)
![Use the appropriate limit laws and theorems to determine the limit of the sequence.
\[
a_{n}=\frac{6^{2 n}}{n !}
\]
(Use symb](https://media.cheggcdn.com/study/101/1010db6f-bbaf-4abb-896f-1571c7753e11/image)
Use the appropriate limit laws and theorems to determine the limit of the sequence. \[ b_{n}=n^{6 / n} \] (Use symbolic notation and fractions where needed. Enter DNE if the sequence diverges.) \[ \lim _{n \rightarrow \infty} b_{n}= \]
Use the appropriate limit laws and theorems to determine the limit of the sequence. \[ a_{n}=\frac{6^{2 n}}{n !} \] (Use symbolic notation and fractions where needed. Enter DNE if the sequence diverges.)