The value of ( lim _{n rightarrow infty} sum_{k=1}^{n} frac{n…

The value of ( lim _{n rightarrow infty} sum_{k=1}^{n} frac{n-K}{n^{2}} cos left(frac{4 K}{n}right) )
equals
(a) ( frac{1}{4} sin 4+frac{1}{16} cos 4-frac{1}{16} )
(b) ( frac{1}{4} sin 4-frac{1}{16} cos 4+frac{1}{16} )
(c) ( frac{1}{16}(1-sin 4) )
(d) ( frac{1}{16}(1-cos 4) )
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