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" Evaluate: "lim(n rarr oo)cos(pi sqrt(n...

" Evaluate: "lim_(n rarr oo)cos(pi sqrt(n^(2)+n)),n" is an integer "

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Evaluate the limit: (lim_(n rarr oo)cos(pi sqrt(n^(2)+n)) when n is an integer

lim_(n rarr oo) n(sqrt(n^(2)+8)-n) =

lim_(n rarr oo) n(sqrt(n^(2)+6)-n) =

Find the value of lim_(n rarr oo)cos[pi sqrt(n^(2)+n)],n in Z is equal to

lim_(n rarr oo)2^(1/n)

lim_(n rarr oo)(pi n)^(2/n) =

lim_(n rarr oo)(sqrt(n+1)-sqrt(n))=0

lim_(n rarr oo)(3+sqrt(n))/(sqrt(n))

lim_(n rarr oo) sqrt(n)/sqrt(n+1)=