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

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

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limit as x approaches 0 of sin((pix)/2)

x \to 0 lim (sin (\frac{π x}{2}))

0

Solution steps

x \to 0 lim (sin (\frac{π x}{2}))

Plug in the value

x = 0

= sin (\frac{π 0}{2})

Simplify

sin (\frac{π 0}{2}) : 0

= 0

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