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

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

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limit as x approaches 1 of cos(pi*x)

x \to 1 lim (cos (π \cdot x))

- 1

Solution steps

x \to 1 lim (cos (π x))

Plug in the value

x = 1

= cos (π 1)

Simplify

cos (π 1) : - 1

= - 1

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