What is the limit as x approaches infinity of (sin(2x))/x ?

The limit as x approaches infinity of (sin(2x))/x is 0

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limit as x approaches infinity of (sin(2x))/x

x \to \infty lim (\frac{sin ( 2 x )}{x})

0

Solution steps

x \to \infty lim (\frac{sin ( 2 x )}{x})

Apply the Squeeze Theorem:

0

= 0

x = 4 y - 8, x = 4 y + 1

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What is the limit as x approaches infinity of (sin(2x))/x ?
The limit as x approaches infinity of (sin(2x))/x is 0