Are you good with limits?

Calculus Level 3

lim ⁡ x → 0 1 − ( cos ⁡ x ) ⋅ cos ⁡ 2 x ⋅ cos ⁡ 3 x 3 x 2 = ? \displaystyle\lim_{x\rightarrow 0}\frac{1-(\cos x)\cdot \sqrt{\cos 2x}\cdot \sqrt[3]{\cos 3x} }{x^2} = \, ?


The answer is 3.

Aleksa Radovanović by Aleksa Radovanović , 25, Serbia

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1 solution

There is more than one way to solve this problem. Using the Maclaurin series:

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