Question

What is the limit of cos (1/y) as y approaches infinity?​

Answer 1

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Answer 2

$lim \: cos \: (\frac{1}{x} ) = 1$

$As \: x →∞⟹ \frac{1}{x} →0$

$\bold{\therefore \: as \: x→∞,cos( \frac{1}{x} )→cos \: 0 = 1}$

$hence \: lim \: cos( \frac{1}{x} ) = 1$