Expression: $\lim_{x \rightarrow 0} \left(5 \times \frac{ \sin\left({3x}\right) }{ \sin\left({5x}\right) }\right)$
Use $\lim_{x \rightarrow c} \left(a \times f\left( x \right)\right)=a \times \lim_{x \rightarrow c} \left(f\left( x \right)\right)$ to transform the expression $5 \times \lim_{x \rightarrow 0} \left(\frac{ \sin\left({3x}\right) }{ \sin\left({5x}\right) }\right)$
Evaluate the limit $5 \times \frac{ 3 }{ 5 }$
Calculate the product $3$