Which of one of the following is correct?

• A. \(\begin{array}{*{20}{c}} {{\rm{lim}}}\\ {x \to 0} \end{array}\;\left( {\frac{{\sin 4x}}{{\sin 2x}}} \right) = 1\;and\;\begin{array}{*{20}{c}} {{\rm{lim}}}\\ {x \to 0} \end{array}\;\left( {\frac{{\tan \;x}}{x}} \right) = 1\)
• B. \(\begin{array}{*{20}{c}} {{\rm{lim}}}\\ {x \to 0} \end{array}\;\left( {\frac{{\sin 4x}}{{\sin 2x}}} \right) = \infty \;and\;\begin{array}{*{20}{c}} {{\rm{lim}}}\\ {x \to 0} \end{array}\;\left( {\frac{{\tan \;x}}{x}} \right) = 1\)
• C. \(\begin{array}{*{20}{c}} {{\rm{lim}}}\\ {x \to 0} \end{array}\;\left( {\frac{{\sin 4x}}{{\sin 2x}}} \right) = 2\;and\;\begin{array}{*{20}{c}} {{\rm{lim}}}\\ {x \to 0} \end{array}\;\left( {\frac{{\tan \;x}}{x}} \right) = \infty \)
• D. \(\begin{array}{*{20}{c}} {{\rm{lim}}}\\ {x \to 0} \end{array}\;\left( {\frac{{\sin 4x}}{{\sin 2x}}} \right) = 2\;and\;\begin{array}{*{20}{c}} {{\rm{lim}}}\\ {x \to 0} \end{array}\;\left( {\frac{{\tan \;x}}{x}} \right) = 1\)