What is the limit as x approaches 5 of sin((pix)/3) ?

The limit as x approaches 5 of sin((pix)/3) is -(sqrt(3))/2

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limit as x approaches 5 of sin((pix)/3)

x \to 5 lim (sin (\frac{π x}{3}))

- \frac{3}{2}

Decimal Notation

- 0.86602 \dots

Solution steps

x \to 5 lim (sin (\frac{π x}{3}))

Plug in the value

x = 5

= sin (\frac{π 5}{3})

Simplify

sin (\frac{π 5}{3}) : - \frac{3}{2}

= - \frac{3}{2}

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What is the limit as x approaches 5 of sin((pix)/3) ?
The limit as x approaches 5 of sin((pix)/3) is -(sqrt(3))/2