What is the limit as x approaches 6 of cos(x*pi) ?

The limit as x approaches 6 of cos(x*pi) is 1

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limit as x approaches 6 of cos(x*pi)

x \to 6 lim (cos (x \cdot π))

1

Solution steps

x \to 6 lim (cos (x π))

Plug in the value

x = 6

= cos (6 π)

Simplify

cos (6 π) : 1

= 1

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What is the limit as x approaches 6 of cos(x*pi) ?
The limit as x approaches 6 of cos(x*pi) is 1