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

The limit as x approaches 0 of 1/(1+cos(x)) is 1/2

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

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

\frac{1}{2}

Decimal Notation

0.5

Solution steps

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

Plug in the value

x = 0

= \frac{1}{1 + cos ( 0 )}

1 + cos (0) = 2

= \frac{1}{2}

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What is the limit as x approaches 0 of 1/(1+cos(x)) ?
The limit as x approaches 0 of 1/(1+cos(x)) is 1/2