Taylor Series for sin(x) Centered at π/2 with Infinite Radius of Convergence

[nameVoid]

f(x)=sinx
taylor series centered at pi/2

sum((-1)^n (x-pi/2)^(2n)/(2n)! , n=0,infty ) with radius of convergence infty

 

[cronxeh]

$\sum\limits_{n=0}^{\infty} \left(\frac{(-1)^n(x-\frac{\pi}{2})^{2n}}{(2n)!} \right)$ is correct