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Evaluate the limit $\lim_{x\to0}\left(\frac{\cos\left(x\right)-\cos\left(\sin\left(3x\right)\right)}{x^2}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{\cos\left(0\right)-\cos\left(\sin\left(3\cdot 0\right)\right)}{0^2}$
Learn how to solve problems step by step online. Find the limit (x)->(0)lim((cos(x)-cos(sin(3x)))/(x^2)). Evaluate the limit \lim_{x\to0}\left(\frac{\cos\left(x\right)-\cos\left(\sin\left(3x\right)\right)}{x^2}\right) by replacing all occurrences of x by 0. Multiply 3 times 0. Calculate the power 0^2. The sine of 0 equals 0.