Simplify the expression with infinity $\frac{1}{\sqrt{3}}\arctan\left(\frac{\sqrt{3}}{3}\cdot e^{\infty }\right)- \left(\frac{1}{\sqrt{3}}\right)\arctan\left(\frac{\sqrt{3}}{3}\cdot e^0\right)$

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$\frac{1}{\sqrt{3}}\arctan\left(\frac{\sqrt{3}}{3}\cdot e^{\infty }\right)+\frac{-1}{\sqrt{3}}\arctan\left(1\left(\frac{\sqrt{3}}{3}\right)\right)$

Learn how to solve operations with infinity problems step by step online. Simplify the expression with infinity 1/(3^(1/2))arctan((3^(1/2))/3e to the power infinity)-1/(3^(1/2))arctan((3^(1/2))/3e^0). Calculate the power e^0. Any expression multiplied by 1 is equal to itself. Apply a property of infinity: k^{\infty}=\infty if k>1. In this case k has the value e. Any expression multiplied by infinity tends to infinity, in other words: \infty\cdot(\pm n)=\pm\infty, if n\neq0.