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

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

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

x \to 1 lim (1 - cos (π) x)

2

Solution steps

x \to 1 lim (1 - cos (π) x)

Plug in the value

x = 1

= 1 - cos (π) \cdot 1

Simplify

1 - cos (π) \cdot 1 : 2

= 2

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