What is the limit as n approaches infinity of (cos(n))/(n^2) ?

The limit as n approaches infinity of (cos(n))/(n^2) is 0

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limit as n approaches infinity of (cos(n))/(n^2)

n \to \infty lim (\frac{cos ( n )}{n ^{2}})

0

Solution steps

n \to \infty lim (\frac{cos ( n )}{n ^{2}})

Apply the Squeeze Theorem:

0

= 0

x \to π lim (tan (\frac{x}{4}))

x \to 0 lim (x tan (\frac{π}{2} - x))

x \to 2 - lim (\frac{- 3}{x - 2})

x \to 0 lim (\frac{4 x - x ^{2}}{x})

x \to 0 lim (\frac{x}{2 x ^{2}})

What is the limit as n approaches infinity of (cos(n))/(n^2) ?
The limit as n approaches infinity of (cos(n))/(n^2) is 0