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

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

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

x \to 2 lim (cos (\frac{π}{2} x))

- 1

Solution steps

x \to 2 lim (cos (\frac{π}{2} x))

Plug in the value

x = 2

= cos (\frac{π}{2} \cdot 2)

Simplify

cos (\frac{π}{2} \cdot 2) : - 1

= - 1

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