Learn how to solve limits problems step by step online. Find the limit of (xarctan(x)-sin(x))/x as x approaches infinity. The limit of the product of two functions is equal to the product of the limits of each function. Evaluate the limit \lim_{x\to\infty }\left(x\arctan\left(x\right)-\sin\left(x\right)\right) by replacing all occurrences of x by \infty . Evaluate the arctangent of +/- infinity. Any expression multiplied by infinity tends to infinity, in other words: \infty\cdot(\pm n)=\pm\infty, if n\neq0.

Find the limit of (xarctan(x)-sin(x))/x as x approaches infinity