Evaluate:
(a) lim n → ∞ 1 ( n − 4 n ) n {\displaystyle \lim _{n\rightarrow \infty }{\frac {1}{{\big (}{\frac {n-4}{n}}{\big )}^{n}}}}
(b) ∑ n = 1 ∞ 1 2 ( 1 4 ) n − 1 {\displaystyle \sum _{n=1}^{\infty }{\frac {1}{2}}{\bigg (}{\frac {1}{4}}{\bigg )}^{n-1}}
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