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Evaluate the limit $\lim_{x\to0}\left(\frac{\arctan\left(x\right)-x}{x-\sin\left(x\right)}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{\arctan\left(0\right)+0}{0-\sin\left(0\right)}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (arctan(x)-x)/(x-sin(x)) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{\arctan\left(x\right)-x}{x-\sin\left(x\right)}\right) by replacing all occurrences of x by 0. The sine of 0 equals . Add the values 0 and 0. Evaluate the arctangent of 0.