Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as "oo" (without the quotation marks). If it diverges to negative infinity, state your answer as "-oo". If it diverges without being infinity or negative infinity, state your answer as "DNE".

$\displaystyle \lim_{{{n}\rightarrow\infty}}{\frac{{{n}^{{{2}}}}}{{{e}^{{{4}{n}}}}}}$

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