** Final Answer

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** Step-by-step Solution **

Problem to solve:

** Specify the solving method

We could not solve this problem by using the method: **Limits by factoring**

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Evaluate the limit $\lim_{x\to0}\left(\frac{1-\cos\left(x\right)}{x^2}\right)$ by replacing all occurrences of $x$ by $0$

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Calculate the power $0^2$

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The cosine of $0$ equals $1$

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Subtract the values $1$ and $-1$

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$\frac{0}{0}$ represents an indeterminate form

** Final Answer

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