How to put conditions on indices of product

I’m trying to solve for the Lagrangian form of the interpolation polynomial. Right now, I’m just trying to solve for the $l_i(x)$ values which are equal to $l_i(x)=prod_{jneq i, j=1}^{n}{frac{x-x_j}{x_i-x_j}} $. Where $n$ is the length of the list of x values. My code right now is:

LagrangeL[i_, xList_] := 
 Product[(x - xList[j])/(xList[i] - xList[j]) Boole[i != j], {j, 1, 
   Length[xList]}]

This is giving me Indeterminate for LagrangeL[1, {1, 2}] and I’m not sure why. Is there a way to make the condition of $j neq i$ in the product index?

LagrangeL[i_, xList_] := Product[If[i != j, 
   (x - xList[[j]])/(xList[[i]] - xList[[j]]), 1], {j, 1, Length[xList]}] 

2 - x