What is the limit as x approaches 2 of sin((pix)/(12)) ?

The limit as x approaches 2 of sin((pix)/(12)) is 1/2

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limit as x approaches 2 of sin((pix)/(12))

x \to 2 lim (sin (\frac{π x}{12}))

\frac{1}{2}

Decimal

0.5

Solution steps

x \to 2 lim (sin (\frac{π x}{12}))

Plug in the value

x = 2

= sin (\frac{π 2}{12})

Simplify

sin (\frac{π 2}{12}) : \frac{1}{2}

= \frac{1}{2}

What is the limit as x approaches 2 of sin((pix)/(12)) ?
The limit as x approaches 2 of sin((pix)/(12)) is 1/2