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Evaluate the limit $\lim_{x\to0}\left(\frac{\sin\left(x\right)-x}{\tan\left(x\right)-x}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{\sin\left(0\right)+0}{\tan\left(0\right)+0}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(0)lim((sin(x)-x)/(tan(x)-x)). Evaluate the limit \lim_{x\to0}\left(\frac{\sin\left(x\right)-x}{\tan\left(x\right)-x}\right) by replacing all occurrences of x by 0. The sine of 0 equals . Calculating the tangent of 0 degrees. \frac{0}{0} represents an indeterminate form.