Answer
2
Work Step by Step
$\lim\limits_{θ \to 0}(θ^{2}/(1-cosθ))$
$\lim\limits_{θ \to 0}(\frac{θ^{2}}{1-cosθ})\times\frac{1+cosθ}{1+cosθ}$
$\lim\limits_{θ \to 0}(\frac{θ^{2}}{1-cos^{2}θ})\times{1+cosθ}$
$\lim\limits_{θ \to 0}(\frac{θ^{2}}{sin^{2}θ})\times{1+cosθ}$
$\frac{1}{\lim\limits_{θ \to 0}(\frac{sin^{2}θ}{θ^{2}})}\times{\lim\limits_{θ \to 0}{(1+cosθ)}}$
$1\times{(1+1)}$
$1\times2$
2