\lim_{x \to 0} \frac{\cos 2x - \cos 4x}{x^2}
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We can use the identity cos(A)cos(B) = (1/2)(cos(A+B) + cos(A-B)) to rewrite it as: cos 2x cos 4x = (1/2)(cos(2x+4x) + cos(2x-4x)) = (1/2)(cos(6x) + cos(-2x)) = (1/2)(cos(6x) + cos(2x)) Show more…
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