What is the limit as n approaches infinity of ((sin(n)))/n ?

The limit as n approaches infinity of ((sin(n)))/n is 0

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limit as n approaches infinity of ((sin(n)))/n

n \to \infty lim (\frac{( sin ( n ) )}{n})

0

Solution steps

n \to \infty lim (\frac{sin ( n )}{n})

Apply the Squeeze Theorem:

0

= 0

x \to 0 + lim (x ln (\frac{1}{x}))

x \to 0 lim (\frac{sin ( a ) x}{x})

x \to 0 lim (x^{3} + \frac{cos ( 5 x )}{10000})

x \to - 1 lim ((\frac{1}{2})^{x})

x \to 2 lim (- 5 x)

What is the limit as n approaches infinity of ((sin(n)))/n ?
The limit as n approaches infinity of ((sin(n)))/n is 0