Calculus: How is the answer to lim x-->pi/2 tan x = negative infinity and positive infinity? - Quora
![How can tangent approach negative infinity at +Pi/2 (for example) and how can it approach positive infinity at negative pi/2? I understand why it's negative infinity at negative pi/2 ( sinx=-1, cosx=0, How can tangent approach negative infinity at +Pi/2 (for example) and how can it approach positive infinity at negative pi/2? I understand why it's negative infinity at negative pi/2 ( sinx=-1, cosx=0,](https://i.redd.it/ba5m4ieokv631.jpg)
How can tangent approach negative infinity at +Pi/2 (for example) and how can it approach positive infinity at negative pi/2? I understand why it's negative infinity at negative pi/2 ( sinx=-1, cosx=0,
![calculus - Why is $\lim\limits_{x \space \to \infty}\space{\arctan(x)} = \frac{\pi}{2}$? - Mathematics Stack Exchange calculus - Why is $\lim\limits_{x \space \to \infty}\space{\arctan(x)} = \frac{\pi}{2}$? - Mathematics Stack Exchange](https://i.stack.imgur.com/6C5Xb.gif)
calculus - Why is $\lim\limits_{x \space \to \infty}\space{\arctan(x)} = \frac{\pi}{2}$? - Mathematics Stack Exchange
![If `f(x)=tan^(-1)x-2/pi(tan^(-1)x)^2+4/pi^2(tan^(-1)x)^3-.....oo`, then the sum of integral va - YouTube If `f(x)=tan^(-1)x-2/pi(tan^(-1)x)^2+4/pi^2(tan^(-1)x)^3-.....oo`, then the sum of integral va - YouTube](https://i.ytimg.com/vi/7CH3Jovz720/maxresdefault.jpg)
If `f(x)=tan^(-1)x-2/pi(tan^(-1)x)^2+4/pi^2(tan^(-1)x)^3-.....oo`, then the sum of integral va - YouTube
![SOLVED:Use the power series for tan ^-1 x to prove the following expression for πas the sum of an infinite series: π=2 √(3) ∑n=0^∞ ((-1)^n)/((2 n+1) 3^n) SOLVED:Use the power series for tan ^-1 x to prove the following expression for πas the sum of an infinite series: π=2 √(3) ∑n=0^∞ ((-1)^n)/((2 n+1) 3^n)](https://cdn.numerade.com/previews/fdeabf36-e672-439f-8b51-bef34bbefd3b_large.jpg)
SOLVED:Use the power series for tan ^-1 x to prove the following expression for πas the sum of an infinite series: π=2 √(3) ∑n=0^∞ ((-1)^n)/((2 n+1) 3^n)
![Sum the series to infinity : tan inverse (1+(1 + 1 + 1²)) + tan inverse (1+( 1 + 2 + - Maths - Inverse Trigonometric Functions - 13623319 | Meritnation.com Sum the series to infinity : tan inverse (1+(1 + 1 + 1²)) + tan inverse (1+( 1 + 2 + - Maths - Inverse Trigonometric Functions - 13623319 | Meritnation.com](https://s3mn.mnimgs.com/img/shared/content_ck_images/ck_5cee3d22ed42f.jpg)