Final Answer
Step-by-step Solution
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We could not solve this problem by using the method: Limits by Factoring
Simplify the fraction $2\left(\frac{x}{3}\right)$
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$\lim_{x\to0}\left(\frac{3x^2}{1-\cos\left(\frac{2}{3}x\right)}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(0)lim((3x^2)/(1-cos(2x/3))). Simplify the fraction 2\left(\frac{x}{3}\right). Evaluate the limit \lim_{x\to0}\left(\frac{3x^2}{1-\cos\left(\frac{2}{3}x\right)}\right) by replacing all occurrences of x by 0. Multiply \frac{2}{3} times 0. Calculate the power 0^2.