#### Answer

$\lim\limits_{θ \to 0} \frac{sin 3θ}{tan 2θ} = 1.50$

#### Work Step by Step

θ | f(x)
-0.5 | 0.64
-0.01 | 1.50
-0.001 | 1.50
-0.0001 | 1.50
$\lim\limits_{θ \to 0^{+}} f(θ) = 1.50$
θ | f(x)
0.5 | 0.64
0.1 | 1.46
0.001 | 1.50
0.00001 | 1.50
$\lim\limits_{θ \to 0^{-}} f(θ) = 1.50$
$\lim\limits_{θ \to 0} \frac{sin 3θ}{tan 2θ} = 1.50$