LImiT [tex]\sf lim_{x\to 0}\dfrac{x + \sin 2x +\tan 4x}{x \cos 2x \ cos 4x}[/tex]
[tex]\sf lim_{x\to 0}\dfrac{x + \sin 2x +\tan 4x}{x } . \ \sf lim_{x\to 0}\dfrac{1}{ \cos 2x \ cos 4x}[/tex]
[tex]\sf =\dfrac{x+2x+4x}{x} + \dfrac{1}{1}[/tex]
[tex]\sf =\dfrac{6x}{x} + 1 = 6 + 1 = 7[/tex]