# Thread: Expanding Sine cardinal with Taylor Series

1. ## Expanding Sine cardinal with Taylor Series

Hi,
I am trying to expand the sine cardinal (sin(x)/x) using the Taylor series around x=PI. Then I need to show that when x is near PI, the result is approx 0.0525.

My problem is when working out the derivatives. f(0)=1 but f'(0) leads to cos(0)/0 which is infinity.