How you slove this? $lim_(n->oo)cos(pisqrt(4n^2+n+1))$

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Answer 1 · 2017-03-19T18:13:06

$1$

Assuming that $n in ZZ$

$lim_(n->oo)cos(pisqrt(4n^2+n+1))=lim_(n->oo)cos(2 pi n sqrt(1+(n+1)/(4n^2))) = cos(2pi n)=1$

How you slove this? lim_(n->oo)cos(pisqrt(4n^2+n+1))lim_(n->oo)cos(pisqrt(4n^2+n+1))