What is the limit as x approaches 4 of sin(2/x-1/2) ?

The limit as x approaches 4 of sin(2/x-1/2) is 0

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limit as x approaches 4 of sin(2/x-1/2)

x \to 4 lim (sin (\frac{2}{x} - \frac{1}{2}))

0

Solution steps

x \to 4 lim (sin (\frac{2}{x} - \frac{1}{2}))

Plug in the value

x = 4

= sin (\frac{2}{4} - \frac{1}{2})

Simplify

sin (\frac{2}{4} - \frac{1}{2}) : 0

= 0

What is the limit as x approaches 4 of sin(2/x-1/2) ?
The limit as x approaches 4 of sin(2/x-1/2) is 0