What is the limit as x approaches 8 of sec((pi*x)/6) ?

The limit as x approaches 8 of sec((pi*x)/6) is -2

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limit as x approaches 8 of sec((pi*x)/6)

x \to 8 lim (sec (\frac{π \cdot x}{6}))

- 2

Solution steps

x \to 8 lim (sec (\frac{π x}{6}))

Plug in the value

x = 8

= sec (\frac{π 8}{6})

Simplify

sec (\frac{π 8}{6}) : - 2

= - 2

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What is the limit as x approaches 8 of sec((pi*x)/6) ?
The limit as x approaches 8 of sec((pi*x)/6) is -2