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Split the fraction $\frac{x-\sin\left(x\right)}{x\tan\left(x\right)}$ in two fractions with common denominator $x\tan\left(x\right)$
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$\lim_{x\to0}\left(\frac{x}{x\tan\left(x\right)}+\frac{-\sin\left(x\right)}{x\tan\left(x\right)}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(0)lim((x-sin(x))/(xtan(x))). Split the fraction \frac{x-\sin\left(x\right)}{x\tan\left(x\right)} in two fractions with common denominator x\tan\left(x\right). Simplify the fraction \frac{x}{x\tan\left(x\right)} by x. Simplify \frac{-\sin\left(x\right)}{x\tan\left(x\right)} by applying trigonometric identities. The limit of a sum of two or more functions is equal to the sum of the limits of each function: \displaystyle\lim_{x\to c}(f(x)\pm g(x))=\lim_{x\to c}(f(x))\pm\lim_{x\to c}(g(x)).