What is the limit as x approaches 0 of 1/(cos(8x)) ?

The limit as x approaches 0 of 1/(cos(8x)) is 1

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limit as x approaches 0 of 1/(cos(8x))

x \to 0 lim (\frac{1}{cos ( 8 x )})

1

Solution steps

x \to 0 lim (\frac{1}{cos ( 8 x )})

Plug in the value

x = 0

= \frac{1}{cos ( 8 \cdot 0 )}

Simplify

\frac{1}{cos ( 8 \cdot 0 )} : 1

= 1

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What is the limit as x approaches 0 of 1/(cos(8x)) ?
The limit as x approaches 0 of 1/(cos(8x)) is 1