## virtus Group Title tan (infinity) =? 2 years ago 2 years ago

1. eigenschmeigen

tan(x) does not tend to a limit as x tends to infinity. tan is periodic remember? |dw:1346458442949:dw|

2. virtus

because the answer says pi/2, but i don't get why that is

3. eigenschmeigen

i think you mean inverse tan

4. eigenschmeigen

or tan^-1

5. eigenschmeigen

or arctan

6. eigenschmeigen

all names for the same thing

7. virtus

the idea is $\large \lim_{x\to\pi/2}\tan x=+\infty$ $\large \lim_{x\to-\pi/2}\tan x=-\infty$ then $\large \lim_{x\to+\infty}\arctan x=\frac{\pi}{2}$ $\large \lim_{x\to-\infty}\arctan x=-\frac{\pi}{2}$