limit of 1-cos theta/sin 2 theta as theta approaches 0

[Jorjaj]

Sooo, the problem is...
What is the limit of 1-cos theta/sin 2 theta as theta approaches 0?

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[Deleted member 4993]

Sooo, the problem is...
What is the limit of 1-cos theta/sin 2 theta as theta approaches 0?

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Is it:

\(\displaystyle \displaystyle{\lim_{\theta \to 0}1 - \dfrac{cos(\theta)}{sin(2\theta)}}\)

or

\(\displaystyle \displaystyle{\lim_{\theta \to 0} \dfrac{1 - cos(\theta)}{sin(2\theta)}}\)

 

[Jorjaj]

Neither

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[Deleted member 4993]

Is it then:

\(\displaystyle \displaystyle{\lim_{\theta \to 0}\left[1 - \dfrac{cos(\theta)}{sin^2(\theta)}\right]}\)

or

\(\displaystyle \displaystyle{\lim_{\theta \to 0} \left[\dfrac{1 - cos(\theta)}{sin^2(\theta)}\right]}\)

.