Question

Is the function y= sin(x)/x even, odd or neither

Answer 1

The function is odd

Answer 2

By definition, a function f is even if f(−x)=f(x) . Since sin(−x)=−sinx , it implies that sinx is an odd function. That is why for example a half range Fourier sine series is said to be odd as well since it is an infinite sum of odd functions.