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Exercise

$2\arctan\left(\sqrt{\infty}\right)$

Step-by-step Solution

1

Infinity to the power of any positive number is equal to infinity, so $\sqrt{\infty }=\infty$

$2\arctan\left(\infty \right)$
2

Evaluate the arctangent of +/- infinity

$\frac{2\pi }{2}$
3

Simplify the fraction $\frac{2\pi }{2}$ by $2$

$\pi $

Final answer to the exercise

$\pi $

Try other ways to solve this exercise

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Similar Questions Solved

$\infty\div\infty$

$2^{\infty}$

$\infty\div0$

$1-\infty$

$\infty\div2$

$\frac{\infty}{1}$

$-\infty-\infty$

Main Topic: Operations with Infinity

Indications for how we should operate with infinity. Very useful to solve limits.

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