Find \(\displaystyle\lim_{{{n}\to\infty}}{n}{\left({\cos{{\left({\frac{{{1}}}{{\sqrt{{n}}}}}\right)}}}-{1}\right)}\)

Destinee Bryan

Destinee Bryan

Answered question

2022-04-14

Find limnn(cos(1n)1)

Answer & Explanation

enchantsyseq

enchantsyseq

Beginner2022-04-15Added 19 answers

limnn(cos(1n)1)=
limnn(cos(1n)1)=limnn(cos2{(12n)sin2{(12n)}}cos2{(12n)sin2{(12n)}})=
=limnn(2sin2{(12n)})=12limn{(sin{(12n)}12n)}2=12

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