What is the limit as x approaches 1 of cos(pi/2 x) ?

The limit as x approaches 1 of cos(pi/2 x) is 0

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limit as x approaches 1 of cos(pi/2 x)

x \to 1 lim (cos (\frac{π}{2} x))

0

Solution steps

x \to 1 lim (cos (\frac{π}{2} x))

Plug in the value

x = 1

= cos (\frac{π}{2} \cdot 1)

Simplify

cos (\frac{π}{2} \cdot 1) : 0

= 0

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What is the limit as x approaches 1 of cos(pi/2 x) ?
The limit as x approaches 1 of cos(pi/2 x) is 0