Using the Taylor series expansion, What is the first term of the truncation error of the finite difference equation \((\frac{\partial u}{\partial x})_{i,j}=\frac{u_{i+1,j}-u_{i,j}}{\Delta y}\)?

\((\frac{\partial^2 u}{\partial x^2})_{i,j}\frac{\Delta x}{3}\)

\(-(\frac{\partial^2 u}{\partial x^2})_{i,j}\frac{\Delta x}{2}\)

\((\frac{\partial^2 u}{\partial x^2})_{i,j}\frac{\Delta x}{3}\)

\(-(\frac{\partial^2 u}{\partial x^2})_{i,j}\frac{\Delta x}{3}\)

\((\frac{\partial^2 u}{\partial x^2})_{i,j}\frac{\Delta x}{2}\)

Using the Taylor series expansion, What is the first term of the trun

1.	Using the Taylor series expansion, What is the first term of the truncation error of the finite difference equation \((\frac{\partial u}{\partial x})_{i,j}=\frac{u_{i+1,j}-u_{i,j}}{\Delta y}\)?
A.	\(-(\frac{\partial^2 u}{\partial x^2})_{i,j}\frac{\Delta x}{2}\)
B.	\((\frac{\partial^2 u}{\partial x^2})_{i,j}\frac{\Delta x}{3}\)
C.	\(-(\frac{\partial^2 u}{\partial x^2})_{i,j}\frac{\Delta x}{3}\)
D.	\((\frac{\partial^2 u}{\partial x^2})_{i,j}\frac{\Delta x}{2}\)
Answer» B. \((\frac{\partial^2 u}{\partial x^2})_{i,j}\frac{\Delta x}{3}\)