20) $\lim_{x \to 0} \frac{\sin 3x \cot 4x}{\cot 5x}$
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We know that cot(x) = 1/tan(x) and tan(x) = sin(x)/cos(x). So, we can rewrite cot(Sx) as: cot(Sx) = \frac{1}{\tan(Sx)} = \frac{\cos(Sx)}{\sin(Sx)} Now, we can rewrite the given expression as: \sin(3x) \cdot \frac{\cos(Sx)}{\sin(Sx)} Show more…
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